David had $273 more money than Ahmad at first. After David spent
23 of his money to buy a vest and Ahmad spent
15 of his money to buy a jacket, they had a total of $499 left. How much more did the vest cost than the jacket?
|
David |
Ahmad |
Comparing David and Ahmad at first |
273 more |
|
Before |
3x5 |
273 |
5x3 |
Change |
- 2x5 |
- 182 |
- 1x3 |
After |
1x5 |
91 |
4x3 |
|
David |
Ahmad |
Before |
15 u + 273 |
15 u |
Change |
- 10 u - 182 |
- 3 u |
After |
5 u + 91 |
12 u |
LCM of 3 and 5 = 15
23 x 273 = 182
273 - 182 = 91
Total amount that David and Ahmad had in the end
= 5 u + 91 + 12 u
= 17 u + 91
17 u + 91 = 499
17 u = 499 - 91
17 u = 408
1 u = 408 ÷ 17 = 24
Amount paid more for the vest than the jacket
= (10 u + 182) - 3 u
= 10 u - 3 u + 182
= 7 u + 182
= (7 x 24) + 182
= 168 + 182
= $350
Answer: $350