John and Valen had $150 and $123 respectively. Each of them bought a blouse and a shirt at the same price. The cost of the blouse was 5 times as much as the shirt. In the end, John had 4 times as much money as Valen. What was the difference between the cost of the shirt and the blouse?
|
John |
Valen |
Difference |
Before |
$150 |
$123 |
$27 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since John and Valen bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
4 u - 1 u = 150 - 123
3 u = 27
1 u = 27 ÷ 3 = 9
Cost of 1 blouse = 5 p
Cost of 1 shirt = 1 p
Total cost of 1 blouse and 1 shirt
= 5 p + 1 p
= 6 p
6 p = 123 - 9
6 p = 114
1 p = 114 ÷ 6 = 19
Difference in the cost between the blouse and the shirt
= 5 p - 1 p
= 4 p
= 4 x 19
= $76
Answer(s): $76