This one is a problem solving question. A word problem in ratios.
The ratio of apples to oranges in a shop is 10 : 7. If the shop receives 50 more apples and 25 more oranges, the ratio of apples to oranges will be 3 : 2. How many more apples does the shop have now?
A) 25
B) 75
C) 300
D) 175
E) 250
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4GMAT Diagnostic Test Q19 - Problem Solving - Ratio Word Problem
2. Question
The ratio of apples to oranges in a shop is 10 : 7. If the shop
receives 50 more apples and 25 more oranges, the ratio of
apples to oranges will be 3 : 2. How many more apples does
the shop have now?
A. 25
B. 75
C. 300
D. 175
E. 250
3. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7
4. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
5. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
6. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
7. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2
8. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2
9. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2
Solve for x:
10x + 50
7x + 25
=
3
2
10. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2
Solve for x:
10x + 50
7x + 25
=
3
2
2(10x + 50) = 3(7x + 25)
11. Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
How many more apples does the shop have now?
揃 Ratio of apples : oranges :: 10 : 7 If there are 10x apples, there will be 7x oranges.
揃 Shop adds 50 more apples and 25
more oranges.
After addition, 10x + 50 apples and 7x + 25
oranges.
揃 Ratio after addition - apples : oranges :: 3 : 2 10x + 50 : 7x + 25 :: 3 : 2
Solve for x:
10x + 50
7x + 25
=
3
2
2(10x + 50) = 3(7x + 25) 20x + 100 = 21x + 75 or x = 25
12. Take a few seconds
To verify whether you have answered the
right question
13. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
Finding x is only an intermediate step. We need to find how may more apples.
14. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
15. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
the shop has 10x 7x = 3x more apples.
16. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
the shop has 10x 7x = 3x more apples.
揃 We have computed x to be 25
17. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
the shop has 10x 7x = 3x more apples.
揃 We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.
18. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
75 more apples
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
the shop has 10x 7x = 3x more apples.
揃 We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.
19. How many more apples does the shop have now?
Apples : oranges :: 10 : 7; 50 more apples, 25 more oranges, new ratio 3 : 2
Correct Answer : Choice B
75 more apples
揃 The shop has 10 x apples and 7x oranges.
Finding x is only an intermediate step. We need to find how may more apples.
the shop has 10x 7x = 3x more apples.
揃 We have computed x to be 25 Hence, the shop has 3 * 25 = 75 more apples.
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