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primary 6 | Maths
| Fractions
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Date Posted: 5 years ago
Views: 660
Let X represent the number of pens Samantha sold.
Then, the number of pens Ben sold was 4X.
The number of pens Samantha had left was X + 72.
The number of pens Ben had left was 0.5X + 36.
We know that X + 4X + (X + 72) + (0.5X + 36) = 433.
Rearrange:
6.5X + 108 = 433
6.5X = 325
Simplify:
X = 50
Hence, the number of pens Samantha sold was 50.
The number of pens Ben had at the start was 4X + (0.5X + 36) = 4.5X + 36 = 261.
Then, the number of pens Ben sold was 4X.
The number of pens Samantha had left was X + 72.
The number of pens Ben had left was 0.5X + 36.
We know that X + 4X + (X + 72) + (0.5X + 36) = 433.
Rearrange:
6.5X + 108 = 433
6.5X = 325
Simplify:
X = 50
Hence, the number of pens Samantha sold was 50.
The number of pens Ben had at the start was 4X + (0.5X + 36) = 4.5X + 36 = 261.
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