John had $228 and Cody had $116 at first. Each of them bought an identical shirt and an identical vest from the same shop. The vest cost 3 times as much as the shirt. In the end, John had 5 times as much money as Cody. What was the cost of the shirt?
|
John |
Cody |
Difference |
Before |
$228 |
$116 |
$112 |
Change |
- 1 shirt - 1 vest |
- 1 shirt - 1 vest |
|
After |
5 u |
1 u |
4 u |
Since John and Cody bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 5 u - 1 u
= 4 u
4 u = 228 - 116
4 u = 112
1 u = 112 ÷ 4 = 28
Amount that Cody had in the end
= 1 u
= $28
Cost of 1 shirt and 1 vest
= 116 - 1 u
= 116 - 28
= $88
The vest cost 3 times as much as the shirt.
Cost of 1 shirt = 1 p
Cost of 1 vest = 3 p
Total cost of 1 shirt and 1 vest
= 1 p + 3 p
= 4 p
4 p = 88
1 p = 88 ÷ 4 = 22
Cost of the shirt
= 1 p
= $22
Answer(s): $22