Warren had $302 and Andy had $194 at first. Each of them bought an identical jacket and an identical blouse from the same shop. The blouse cost 4 times as much as the jacket. In the end, Warren had 3 times as much money as Andy. What was the cost of the jacket?
|
Warren |
Andy |
Difference |
Before |
$302 |
$194 |
$108 |
Change |
- 1 jacket - 1 blouse |
- 1 jacket - 1 blouse |
|
After |
3 u |
1 u |
2 u |
Since Warren and Andy 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 = 302 - 194
2 u = 108
1 u = 108 ÷ 2 = 54
Amount that Andy had in the end
= 1 u
= $54
Cost of 1 jacket and 1 blouse
= 194 - 1 u
= 194 - 54
= $140
The blouse cost 4 times as much as the jacket.
Cost of 1 jacket = 1 p
Cost of 1 blouse = 4 p
Total cost of 1 jacket and 1 blouse
= 1 p + 4 p
= 5 p
5 p = 140
1 p = 140 ÷ 5 = 28
Cost of the jacket
= 1 p
= $28
Answer(s): $28