Zeph had $234 and Charlie had $110 at first. Each of them bought an identical shirt and an identical skirt from the same shop. The skirt cost 5 times as much as the shirt. In the end, Zeph had 3 times as much money as Charlie. What was the cost of the shirt?
| |
Zeph |
Charlie |
Difference |
| Before |
$234 |
$110 |
$124 |
| Change |
- 1 shirt
- 1 skirt |
- 1 shirt
- 1 skirt |
|
| After |
3 u |
1 u |
2 u |
Since Zeph and Charlie bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 3 u - 1 u
= 2 u
2 u = 234 - 110
2 u = 124
1 u = 124 ÷ 2 = 62
Amount that Charlie had in the end
= 1 u
= $62
Cost of 1 shirt and 1 skirt
= 110 - 1 u
= 110 - 62
= $48
The skirt cost 5 times as much as the shirt.
Cost of 1 shirt = 1 p
Cost of 1 skirt = 5 p
Total cost of 1 shirt and 1 skirt
= 1 p + 5 p
= 6 p
6 p = 48
1 p = 48 ÷ 6 = 8
Cost of the shirt
= 1 p
= $8
Answer(s): $8
