Zeph and Glen had $234 and $194 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, Zeph had 3 times as much money as Glen. What was the difference between the cost of the shirt and the blouse?
|
Zeph |
Glen |
Difference |
Before |
$234 |
$194 |
$40 |
Change |
- 6 p |
- 6 p |
|
After |
3 u |
1 u |
2 u |
Since Zeph and Glen bought the same items at the same price, the difference in the amounts they had remains unchanged at first and in the end.
3 u - 1 u = 234 - 194
2 u = 40
1 u = 40 ÷ 2 = 20
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 = 194 - 20
6 p = 174
1 p = 174 ÷ 6 = 29
Difference in the cost between the blouse and the shirt
= 5 p - 1 p
= 4 p
= 4 x 29
= $116
Answer(s): $116