Asher had $440 more money than Liam at first. After Asher spent
34 of his money to buy a skirt and Liam spent
15 of his money to buy a jacket, they had a total of $446 left. How much more did the skirt cost than the jacket?
|
Asher |
Liam |
Comparing Asher and Liam at first |
$440 more |
|
Before |
4x5 |
$440 |
5x4 |
Change |
- 3x5 |
- $330 |
- 1x4 |
After |
1x5 |
$110 |
4x4 |
|
Asher |
Liam |
Before |
20 u + $440 |
20 u |
Change |
- 15 u - $330 |
- 4 u |
After |
5 u + $110 |
16 u |
LCM of 4 and 5 = 20
34 x 440 = 330
440 - 330 = 110
Total amount that Asher and Liam had in the end
= 5 u + 110 + 16 u
= 21 u + 110
21 u + 110 = 446
21 u = 446 - 110
21 u = 336
1 u = 336 ÷ 21 = 16
Amount paid more for the skirt than the jacket
= (15 u + 330) - 4 u
= 15 u - 4 u + 330
= 11 u + 330
= (11 x 16) + 330
= 176 + 330
= $506
Answer(s): $506