Glen had $320 and Jeremy had $134 at first. Each of them bought an identical blouse and an identical jumpsuit from the same shop. The jumpsuit cost 3 times as much as the blouse. In the end, Glen had 4 times as much money as Jeremy. What was the cost of the blouse?
|
Glen |
Jeremy |
Difference |
Before |
$320 |
$134 |
$186 |
Change |
- 1 blouse - 1 jumpsuit |
- 1 blouse - 1 jumpsuit |
|
After |
4 u |
1 u |
3 u |
Since Glen and Jeremy 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 = 320 - 134
3 u = 186
1 u = 186 ÷ 3 = 62
Amount that Jeremy had in the end
= 1 u
= $62
Cost of 1 blouse and 1 jumpsuit
= 134 - 1 u
= 134 - 62
= $72
The jumpsuit cost 3 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 jumpsuit = 3 p
Total cost of 1 blouse and 1 jumpsuit
= 1 p + 3 p
= 4 p
4 p = 72
1 p = 72 ÷ 4 = 18
Cost of the blouse
= 1 p
= $18
Answer(s): $18