Albert had $318 and Liam had $162 at first. Each of them bought an identical hoodie and an identical blouse from the same shop. The blouse cost 2 times as much as the hoodie. In the end, Albert had 3 times as much money as Liam. What was the cost of the hoodie?
| |
Albert |
Liam |
Difference |
| Before |
$318 |
$162 |
$156 |
| Change |
- 1 hoodie
- 1 blouse |
- 1 hoodie
- 1 blouse |
|
| After |
3 u |
1 u |
2 u |
Since Albert and Liam 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 = 318 - 162
2 u = 156
1 u = 156 ÷ 2 = 78
Amount that Liam had in the end
= 1 u
= $78
Cost of 1 hoodie and 1 blouse
= 162 - 1 u
= 162 - 78
= $84
The blouse cost 2 times as much as the hoodie.
Cost of 1 hoodie = 1 p
Cost of 1 blouse = 2 p
Total cost of 1 hoodie and 1 blouse
= 1 p + 2 p
= 3 p
3 p = 84
1 p = 84 ÷ 3 = 28
Cost of the hoodie
= 1 p
= $28
Answer(s): $28
