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Cara 2

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Pensil Dan Pemadam
Pensil Dan Pemadam

Ayu, Syah, and Kui found a strongbox containing gold nuggets. They gave half to orphans and divided the rest evenly among themselves. Syah received 2,000 nuggets. Working backwards from this, they determined the strongbox originally contained 12,000 nuggets.

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Ayu, Syah, and Kui F uncovered a strongbox containing some gold nuggets. They gave half of the nuggets to the orphan at Kampung Tengah and divided the remaining nuggets evenly among themselves. Syahirah received 2,000 gold nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left after they gave to the orphan at Kampung Tengah? (no) - Do you know how many gold nuggets after they divided the remaining nuggets evenly among themselves? (yes, 2000 for each person) PLANNING A SOLUTION - If Syahir received 2000 nuggets, the other person Ayu and Kui also will get the same amount. - So that, all the nuggets they have are 6000 gold nuggets. - It means that, they have half of the gold nuggets while the other half of gold nuggets were gave to orphan at Kampung Tengah. - We can use the method work backwards because the question mentioned one value that can be used to get another value.
FINDING THE ANSWER Work Backwards Start with the number of nuggets Syahir received. There are 2000 of gold nuggets. There are 3 people who are Ayu, Syahir and Kui So that 2000 X 3 = 6000. Then, multiply by 2 for the half they gave to orphan at Kampung Tengah. 6000 X 2 = 12000 Therefore, there were 12000 gold nuggets in the strongbox. LOOKING BACKWARDS Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. x 12000 = 6000 They gave half of the nuggets to the orphan at Kampung Tengah Remaining of the gold nuggets 12000 6000 = 6000 6000 歎 3 = 2000 Divide the remainder among three peoples Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, Syahir was received 2000 of gold nuggets.
Ayu, Syahir, and Kuiuncovered a strongbox containing some gold nuggets. They gave half of the nuggets to the orphan at Kampung Tengah and divided the remaining nuggets evenly among themselves. Syahir received 2,000 gold nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left after they gave to the orphan at Kampung Tengah? (no) - Do you know how many gold nuggets after they divided the remaining nuggets evenly among themselves? (yes, 2000 for each person) PLANNING A SOLUTION - If Syahir received 2000 gold nuggets, the other person Ayu and Kui also will get the same amount. So that, we can draw three people with value 2000 of gold nuggets that they got. - So that, all the nuggets they have are 6000 gold nuggets. - It means that, they have half of the gold nuggets while the other half of gold nuggets were gave to orphan at Kampung Tengah. We draw the image of Kampung Tengah and put the value on that diagram. - We can use the method draw diagram to increase the understanding of students towards this problem.
Making a diagram Strongbox ? I got 2,000 gold nuggets. I got 2,000 gold nuggets. Kui I got 2,000 Syahir Ayu gold nuggets. The totals of number that they got are 6,000. Orphan I got half of the gold nuggets. The totals of number that orphan got are 6,000. Therefore, the totals of number that Kui, Syahir and Ayu got and the totals of number that orphan got were added. 6000 + 6000 = 12000 So that, the number of gold nuggets in the strongbox is 12000.
LOOKING BACKWARDS Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. x 12000 = 6000 They gave half of the nuggets to the orphan at Kampung Tengah Remaining of the gold nuggets 12000 6000 = 6000 6000 歎 3 = 2000 Divide the remainder among three peoples Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, Syahir was received 2000 of gold nuggets.
JUSTIFICATION The method work backwards is the more efficient method. It is because we can easily find the answer and detect any mistake that have done. Besides that, we also can get the exactly answer because the last answer was given first before we can solve the value after that. Everyone also can understand this method. This method is easy because we only need to inverse the symbol from the work forward. PROBLEM EXTENSION The three men decided to place half of the nuggets in the bank first, bury half of the remaining nuggets, and then divide the nuggets that were left evenly among them. Again, each man received 2,000 nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left in the bank? (no) - Do you know how many gold nuggets that they buried? (no) - Do you know how many gold nuggets will three people get? (yes, 2000 each person)
PLANNING THE SOLUTION - If each men will get 2000 nuggets its mean that the total of number that all of them will get 6000. - When we do the method of work backwards, the value of half that mention in the question will change to 2. - We can use the method work backwards because the question mentioned one value that can be used to get another value. FINDING THE ANSWER Start with the number of nuggets that each man received. There are 2000 of gold nuggets. There are 3 men. So that 2000 X 3 = 6000. Then, multiply by 2 for the half that they placed in the bank. 6000 X 2 = 12000 Then, multiply by 2 for the half that they bury. 12000 X 2 = 24000 Therefore, there were 24000 gold nuggets in the strongbox.
LOOKING BACKWARDS The three men decided to place half of the nuggets in the bank first, bury half of the remaining nuggets, and then divide the nuggets that were left evenly among them. Again, each man received 2,000 nuggets. How many nuggets were in the strongbox? Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. Half of the gold nuggets were placed in the bank. x 24000 = 12000 The remainder of the gold nuggets after the half 24000 12000 = 12000 was placed in the bank Half of the gold nuggets were buried. x 12000 = 6000 The remainder of the gold nuggets after half 12000 6000 = 6000 was buried Then the remainder was divided by three 6000 歎 3 = 2000 men. Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, each man was received 2000 of gold nuggets.

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Cara 2

  • 1. Ayu, Syah, and Kui F uncovered a strongbox containing some gold nuggets. They gave half of the nuggets to the orphan at Kampung Tengah and divided the remaining nuggets evenly among themselves. Syahirah received 2,000 gold nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left after they gave to the orphan at Kampung Tengah? (no) - Do you know how many gold nuggets after they divided the remaining nuggets evenly among themselves? (yes, 2000 for each person) PLANNING A SOLUTION - If Syahir received 2000 nuggets, the other person Ayu and Kui also will get the same amount. - So that, all the nuggets they have are 6000 gold nuggets. - It means that, they have half of the gold nuggets while the other half of gold nuggets were gave to orphan at Kampung Tengah. - We can use the method work backwards because the question mentioned one value that can be used to get another value.
  • 2. FINDING THE ANSWER Work Backwards Start with the number of nuggets Syahir received. There are 2000 of gold nuggets. There are 3 people who are Ayu, Syahir and Kui So that 2000 X 3 = 6000. Then, multiply by 2 for the half they gave to orphan at Kampung Tengah. 6000 X 2 = 12000 Therefore, there were 12000 gold nuggets in the strongbox. LOOKING BACKWARDS Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. x 12000 = 6000 They gave half of the nuggets to the orphan at Kampung Tengah Remaining of the gold nuggets 12000 6000 = 6000 6000 歎 3 = 2000 Divide the remainder among three peoples Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, Syahir was received 2000 of gold nuggets.
  • 3. Ayu, Syahir, and Kuiuncovered a strongbox containing some gold nuggets. They gave half of the nuggets to the orphan at Kampung Tengah and divided the remaining nuggets evenly among themselves. Syahir received 2,000 gold nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left after they gave to the orphan at Kampung Tengah? (no) - Do you know how many gold nuggets after they divided the remaining nuggets evenly among themselves? (yes, 2000 for each person) PLANNING A SOLUTION - If Syahir received 2000 gold nuggets, the other person Ayu and Kui also will get the same amount. So that, we can draw three people with value 2000 of gold nuggets that they got. - So that, all the nuggets they have are 6000 gold nuggets. - It means that, they have half of the gold nuggets while the other half of gold nuggets were gave to orphan at Kampung Tengah. We draw the image of Kampung Tengah and put the value on that diagram. - We can use the method draw diagram to increase the understanding of students towards this problem.
  • 4. Making a diagram Strongbox ? I got 2,000 gold nuggets. I got 2,000 gold nuggets. Kui I got 2,000 Syahir Ayu gold nuggets. The totals of number that they got are 6,000. Orphan I got half of the gold nuggets. The totals of number that orphan got are 6,000. Therefore, the totals of number that Kui, Syahir and Ayu got and the totals of number that orphan got were added. 6000 + 6000 = 12000 So that, the number of gold nuggets in the strongbox is 12000.
  • 5. LOOKING BACKWARDS Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. x 12000 = 6000 They gave half of the nuggets to the orphan at Kampung Tengah Remaining of the gold nuggets 12000 6000 = 6000 6000 歎 3 = 2000 Divide the remainder among three peoples Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, Syahir was received 2000 of gold nuggets.
  • 6. JUSTIFICATION The method work backwards is the more efficient method. It is because we can easily find the answer and detect any mistake that have done. Besides that, we also can get the exactly answer because the last answer was given first before we can solve the value after that. Everyone also can understand this method. This method is easy because we only need to inverse the symbol from the work forward. PROBLEM EXTENSION The three men decided to place half of the nuggets in the bank first, bury half of the remaining nuggets, and then divide the nuggets that were left evenly among them. Again, each man received 2,000 nuggets. How many nuggets were in the strongbox? UNDERSTANDING THE PROBLEM - Do you know how many gold nuggets were in the strongbox? (no) - Do you know how many gold nuggets were left in the bank? (no) - Do you know how many gold nuggets that they buried? (no) - Do you know how many gold nuggets will three people get? (yes, 2000 each person)
  • 7. PLANNING THE SOLUTION - If each men will get 2000 nuggets its mean that the total of number that all of them will get 6000. - When we do the method of work backwards, the value of half that mention in the question will change to 2. - We can use the method work backwards because the question mentioned one value that can be used to get another value. FINDING THE ANSWER Start with the number of nuggets that each man received. There are 2000 of gold nuggets. There are 3 men. So that 2000 X 3 = 6000. Then, multiply by 2 for the half that they placed in the bank. 6000 X 2 = 12000 Then, multiply by 2 for the half that they bury. 12000 X 2 = 24000 Therefore, there were 24000 gold nuggets in the strongbox.
  • 8. LOOKING BACKWARDS The three men decided to place half of the nuggets in the bank first, bury half of the remaining nuggets, and then divide the nuggets that were left evenly among them. Again, each man received 2,000 nuggets. How many nuggets were in the strongbox? Read the problem again to be sure the question was answered. Yes, I found the total number of gold nuggets in the strongbox. Check the math to be sure it is correct. Half of the gold nuggets were placed in the bank. x 24000 = 12000 The remainder of the gold nuggets after the half 24000 12000 = 12000 was placed in the bank Half of the gold nuggets were buried. x 12000 = 6000 The remainder of the gold nuggets after half 12000 6000 = 6000 was buried Then the remainder was divided by three 6000 歎 3 = 2000 men. Then, we will know that each person will get 2000 of gold nuggets. As the mention in the question, each man was received 2000 of gold nuggets.