Cody had $296 and Luke had $164 at first. Each of them bought an identical jacket and an identical jumpsuit from the same shop. The jumpsuit cost 2 times as much as the jacket. In the end, Cody had 4 times as much money as Luke. What was the cost of the jacket?
| |
Cody |
Luke |
Difference |
| Before |
$296 |
$164 |
$132 |
| Change |
- 1 jacket
- 1 jumpsuit |
- 1 jacket
- 1 jumpsuit |
|
| After |
4 u |
1 u |
3 u |
Since Cody and Luke bought the same items, the difference in their amounts remains the same.
Difference in the amounts that they had
= 4 u - 1 u
= 3 u
3 u = 296 - 164
3 u = 132
1 u = 132 ÷ 3 = 44
Amount that Luke had in the end
= 1 u
= $44
Cost of 1 jacket and 1 jumpsuit
= 164 - 1 u
= 164 - 44
= $120
The jumpsuit cost 2 times as much as the jacket.
Cost of 1 jacket = 1 p
Cost of 1 jumpsuit = 2 p
Total cost of 1 jacket and 1 jumpsuit
= 1 p + 2 p
= 3 p
3 p = 120
1 p = 120 ÷ 3 = 40
Cost of the jacket
= 1 p
= $40
Answer(s): $40
