David had $288 and Oscar had $132 at first. Each of them bought an identical blouse and an identical blouse from the same shop. The blouse cost 5 times as much as the blouse. In the end, David had 3 times as much money as Oscar. What was the cost of the blouse?
| |
David |
Oscar |
Difference |
| Before |
$288 |
$132 |
$156 |
| Change |
- 1 blouse
- 1 blouse |
- 1 blouse
- 1 blouse |
|
| After |
3 u |
1 u |
2 u |
Since David and Oscar 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 = 288 - 132
2 u = 156
1 u = 156 ÷ 2 = 78
Amount that Oscar had in the end
= 1 u
= $78
Cost of 1 blouse and 1 blouse
= 132 - 1 u
= 132 - 78
= $54
The blouse cost 5 times as much as the blouse.
Cost of 1 blouse = 1 p
Cost of 1 blouse = 5 p
Total cost of 1 blouse and 1 blouse
= 1 p + 5 p
= 6 p
6 p = 54
1 p = 54 ÷ 6 = 9
Cost of the blouse
= 1 p
= $9
Answer(s): $9
