Ethan had $468 more money than Cody at first. After Ethan spent
23 of his money to buy a vest and Cody spent
15 of his money to buy a windbreaker, they had a total of $547 left. How much more did the vest cost than the windbreaker?
| |
Ethan |
Cody |
Comparing Ethan and
Cody at first |
468 more |
|
| Before |
3x5 |
468 |
5x3 |
| Change |
- 2x5 |
- 312 |
- 1x3 |
| After |
1x5 |
156 |
4x3 |
| |
Ethan |
Cody |
| Before |
15 u + 468 |
15 u |
| Change |
- 10 u - 312 |
- 3 u |
| After |
5 u + 156 |
12 u |
LCM of 3 and 5 = 15
23 x 468 = 312
468 - 312 = 156
Total amount that Ethan and Cody had in the end
= 5 u + 156 + 12 u
= 17 u + 156
17 u + 156 = 547
17 u = 547 - 156
17 u = 391
1 u = 391 ÷ 17 = 23
Amount paid more for the vest than the windbreaker
= (10 u + 312) - 3 u
= 10 u - 3 u + 312
= 7 u + 312
= (7 x 23) + 312
= 161 + 312
= $473
Answer: $473
