Zane and Glen had $126 and $98 respectively. Each of them bought a hoodie and a shirt at the same price. The cost of the hoodie was 5 times as much as the shirt. In the end, Zane had 3 times as much money as Glen. What was the difference between the cost of the shirt and the hoodie?
|
Zane |
Glen |
Difference |
Before |
$126 |
$98 |
$28 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Zane and Glen bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 126 - 98
2 u = 28
1 u = 28 ÷ 2 = 14
Cost of 1 hoodie = 5 p
Cost of 1 shirt = 1 p
Total cost of 1 hoodie and 1 shirt
= 5 p + 1 p
= 6 p
6 p = 98 - 14
6 p = 84
1 p = 84 ÷ 6 = 14
Difference in the cost between the hoodie and the shirt
= 5 p - 1 p
= 4 p
= 4 x 14
= $56
Answer(s): $56