Fabian and David had $212 and $188 respectively. Each of them bought a shirt and a jacket at the same price. The cost of the shirt was 5 times as much as the jacket. In the end, Fabian had 4 times as much money as David. What was the difference between the cost of the jacket and the shirt?
|
Fabian |
David |
Difference |
Before |
$212 |
$188 |
$24 |
Change |
- 6 p |
- 6 p |
|
After |
4 u |
1 u |
3 u |
Since Fabian and David 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 = 212 - 188
3 u = 24
1 u = 24 ÷ 3 = 8
Cost of 1 shirt = 5 p
Cost of 1 jacket = 1 p
Total cost of 1 shirt and 1 jacket
= 5 p + 1 p
= 6 p
6 p = 188 - 8
6 p = 180
1 p = 180 ÷ 6 = 30
Difference in the cost between the shirt and the jacket
= 5 p - 1 p
= 4 p
= 4 x 30
= $120
Answer(s): $120