Tom had $438 more money than Seth at first. After Tom spent
23 of his money to buy a jacket and Seth spent
15 of his money to buy a shirt, they had a total of $537 left. How much more did the jacket cost than the shirt?
|
Tom |
Seth |
Comparing Tom and Seth at first |
438 more |
|
Before |
3x5 |
438 |
5x3 |
Change |
- 2x5 |
- 292 |
- 1x3 |
After |
1x5 |
146 |
4x3 |
|
Tom |
Seth |
Before |
15 u + 438 |
15 u |
Change |
- 10 u - 292 |
- 3 u |
After |
5 u + 146 |
12 u |
LCM of 3 and 5 = 15
23 x 438 = 292
438 - 292 = 146
Total amount that Tom and Seth had in the end
= 5 u + 146 + 12 u
= 17 u + 146
17 u + 146 = 537
17 u = 537 - 146
17 u = 391
1 u = 391 ÷ 17 = 23
Amount paid more for the jacket than the shirt
= (10 u + 292) - 3 u
= 10 u - 3 u + 292
= 7 u + 292
= (7 x 23) + 292
= 161 + 292
= $453
Answer: $453