Riordan and Bryan had $190 and $138 respectively. Each of them bought a skirt and a shirt at the same price. The cost of the skirt was 4 times as much as the shirt. In the end, Riordan had 5 times as much money as Bryan. What was the difference between the cost of the shirt and the skirt?
|
Riordan |
Bryan |
Difference |
Before |
$190 |
$138 |
$52 |
Change |
- 5 p |
- 5 p |
|
After |
5 u |
1 u |
4 u |
Since Riordan 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.
5 u - 1 u = 190 - 138
4 u = 52
1 u = 52 ÷ 4 = 13
Cost of 1 skirt = 4 p
Cost of 1 shirt = 1 p
Total cost of 1 skirt and 1 shirt
= 4 p + 1 p
= 5 p
5 p = 138 - 13
5 p = 125
1 p = 125 ÷ 5 = 25
Difference in the cost between the skirt and the shirt
= 4 p - 1 p
= 3 p
= 3 x 25
= $75
Answer(s): $75