At first, Ahmad, Charlie and Jack had the same amount of money. After Jack spent some of his money, Ahmad spent
27 of his money and Charlie spent
12 of his money, Ahmad had $48 more than Charlie. In the end, the total amount of money the three boys had left was $331. How much money did Jack spend?
|
Ahmad |
Charlie |
Jack |
Total |
Before |
7x2 = 14 u |
2x7 = 14 u |
14 u |
|
Change |
- 2x2 = - 4 u |
- 1x7 = - 7 u |
- ? |
|
After |
5x2 = 10 u |
1x7 = 7 u |
|
$331 |
The amount that Ahmad and Charlie each had at first is the same. Make the amount that they each had the same. LCM of 7 and 2 is 14.
Amount that Ahmad had more than Charlie in the end
= 10 u - 7 u
= 3 u
3 u = 48
1 u = 48 ÷ 3 = 16
Amount that Ahmad and Charlie had in the end
= 10 u + 7 u
= 17 u
= 17 x 16
= $272
Amount that Jack had in the end
= 331 - 272
= $59
Amount that Jack had at first
= 14 u
= 14 x 16
= $224
Amount that Jack spent
= 224 - 59
= $165
Answer(s): $165