際際滷

際際滷Share a Scribd company logo
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
1

Draw 2 model bars representing each colour pen, break the
longer at the point it is equal to the shorter bar

Yellow Pens
Equal

Blue Pens

185 More Yellow Pens
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
2

Now divide the bars into smaller parts to represent the fractions.
The common denominator for 3/5 and 1/2 is 10, so well use 10
parts. For the extra 50 yellow pens, well leave it as 5 parts

Yellow Pens
50 More

Blue Pens
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
3

We know 3/5 yellow pens were sold. For both left and right yellow bars,
we will indicate 3/5 of pens were sold in white. Likewise, we know 1/2
blue pens were sold, which we can also indicate in white.

Yellow Pens
50 More

Blue Pens
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
4

We know 3/5 of yellow pens were sold, thus we can determine how
many of the 50 extra yellow pens were sold and how many left

Yellow Pens
50 More

Blue Pens

3/5 X 50 
=30 sold
!
2/5 X 50
= 20 left
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
5

Now lets focus on the left hand side.
Of the 110 pens left, 20 are the extra yellow pens (orange). So the
remaining 110 - 20 = 90 are yellow and blue pens.

Yellow Pens
50 More

3/5 X 50 
=30 sold
!
2/5 X 50
= 20 left

Blue Pens

+

= 110 - 20 = 90 pens
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
6

4 yellow units + 5 blue units = 90 pens. Thus each unit represents 
90 / (4+5) = 10 pens

Yellow Pens
50 More

3/5 X 50 
=30 sold
!
2/5 X 50
= 20 left

Blue Pens

+
4 Units

5 Units

9 units = 90 pens
1 unit = 90/9 = 10 pens
Steve made 50 more yellow pens than blue pens. After
selling 3/5 of the yellow pens and 1/2 of the blue pens, he
had 110 pens left. How many pens did he sell?
Answer : 110

+

30

= 140 Sold

185 More

7

3/5 X 50 
=30 sold
!
2/5 X 50
= 20 left

Yellow Pens

Blue Pens

+
4 Units

5 Units

There were 11 units sold, 
thus 11 units X 10 pens per unit = 110 pens

More Related Content

PSLE Word Problem - Solution

  • 1. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell?
  • 2. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 1 Draw 2 model bars representing each colour pen, break the longer at the point it is equal to the shorter bar Yellow Pens Equal Blue Pens 185 More Yellow Pens
  • 3. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 2 Now divide the bars into smaller parts to represent the fractions. The common denominator for 3/5 and 1/2 is 10, so well use 10 parts. For the extra 50 yellow pens, well leave it as 5 parts Yellow Pens 50 More Blue Pens
  • 4. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 3 We know 3/5 yellow pens were sold. For both left and right yellow bars, we will indicate 3/5 of pens were sold in white. Likewise, we know 1/2 blue pens were sold, which we can also indicate in white. Yellow Pens 50 More Blue Pens
  • 5. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 4 We know 3/5 of yellow pens were sold, thus we can determine how many of the 50 extra yellow pens were sold and how many left Yellow Pens 50 More Blue Pens 3/5 X 50 =30 sold ! 2/5 X 50 = 20 left
  • 6. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 5 Now lets focus on the left hand side. Of the 110 pens left, 20 are the extra yellow pens (orange). So the remaining 110 - 20 = 90 are yellow and blue pens. Yellow Pens 50 More 3/5 X 50 =30 sold ! 2/5 X 50 = 20 left Blue Pens + = 110 - 20 = 90 pens
  • 7. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? 6 4 yellow units + 5 blue units = 90 pens. Thus each unit represents 90 / (4+5) = 10 pens Yellow Pens 50 More 3/5 X 50 =30 sold ! 2/5 X 50 = 20 left Blue Pens + 4 Units 5 Units 9 units = 90 pens 1 unit = 90/9 = 10 pens
  • 8. Steve made 50 more yellow pens than blue pens. After selling 3/5 of the yellow pens and 1/2 of the blue pens, he had 110 pens left. How many pens did he sell? Answer : 110 + 30 = 140 Sold 185 More 7 3/5 X 50 =30 sold ! 2/5 X 50 = 20 left Yellow Pens Blue Pens + 4 Units 5 Units There were 11 units sold, thus 11 units X 10 pens per unit = 110 pens