Oliver had $452 more money than Liam at first. After Oliver spent
34 of his money to buy a vest and Liam spent
15 of his money to buy a blazer, they had a total of $575 left. How much more did the vest cost than the blazer?
| |
Oliver |
Liam |
Comparing Oliver and
Liam at first |
$452 more |
|
| Before |
4x5 |
$452 |
5x4 |
| Change |
- 3x5 |
- $339 |
- 1x4 |
| After |
1x5 |
$113 |
4x4 |
| |
Oliver |
Liam |
| Before |
20 u + $452 |
20 u |
| Change |
- 15 u - $339 |
- 4 u |
| After |
5 u + $113 |
16 u |
LCM of 4 and 5 = 20
34 x 452 = 339
452 - 339 = 113
Total amount that Oliver and Liam had in the end
= 5 u + 113 + 16 u
= 21 u + 113
21 u + 113 = 575
21 u = 575 - 113
21 u = 462
1 u = 462 ÷ 21 = 22
Amount paid more for the vest than the blazer
= (15 u + 339) - 4 u
= 15 u - 4 u + 339
= 11 u + 339
= (11 x 22) + 339
= 242 + 339
= $581
Answer(s): $581
