Zane and Bryan had $176 and $134 respectively. Each of them bought a shirt and a skirt at the same price. The cost of the shirt was 3 times as much as the skirt. In the end, Zane had 4 times as much money as Bryan. What was the difference between the cost of the skirt and the shirt?
|
Zane |
Bryan |
Difference |
Before |
$176 |
$134 |
$42 |
Change |
- 4 p |
- 4 p |
|
After |
4 u |
1 u |
3 u |
Since Zane and Bryan bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 176 - 134
3 u = 42
1 u = 42 ÷ 3 = 14
Cost of 1 shirt = 3 p
Cost of 1 skirt = 1 p
Total cost of 1 shirt and 1 skirt
= 3 p + 1 p
= 4 p
4 p = 134 - 14
4 p = 120
1 p = 120 ÷ 4 = 30
Difference in the cost between the shirt and the skirt
= 3 p - 1 p
= 2 p
= 2 x 30
= $60
Answer(s): $60