Michael had $468 more money than Andy at first. After Michael spent
34 of his money to buy a vest and Andy spent
15 of his money to buy a skirt, they had a total of $495 left. How much more did the vest cost than the skirt?
|
Michael |
Andy |
Comparing Michael and Andy at first |
$468 more |
|
Before |
4x5 |
$468 |
5x4 |
Change |
- 3x5 |
- $351 |
- 1x4 |
After |
1x5 |
$117 |
4x4 |
|
Michael |
Andy |
Before |
20 u + $468 |
20 u |
Change |
- 15 u - $351 |
- 4 u |
After |
5 u + $117 |
16 u |
LCM of 4 and 5 = 20
34 x 468 = 351
468 - 351 = 117
Total amount that Michael and Andy had in the end
= 5 u + 117 + 16 u
= 21 u + 117
21 u + 117 = 495
21 u = 495 - 117
21 u = 378
1 u = 378 ÷ 21 = 18
Amount paid more for the vest than the skirt
= (15 u + 351) - 4 u
= 15 u - 4 u + 351
= 11 u + 351
= (11 x 18) + 351
= 198 + 351
= $549
Answer(s): $549