Simon had $404 more money than Luke at first. After Simon spent
34 of his money to buy a skirt and Luke spent
15 of his money to buy a windbreaker, they had a total of $437 left. How much more did the skirt cost than the windbreaker?
| |
Simon |
Luke |
Comparing Simon and
Luke at first |
$404 more |
|
| Before |
4x5 |
$404 |
5x4 |
| Change |
- 3x5 |
- $303 |
- 1x4 |
| After |
1x5 |
$101 |
4x4 |
| |
Simon |
Luke |
| Before |
20 u + $404 |
20 u |
| Change |
- 15 u - $303 |
- 4 u |
| After |
5 u + $101 |
16 u |
LCM of 4 and 5 = 20
34 x 404 = 303
404 - 303 = 101
Total amount that Simon and Luke had in the end
= 5 u + 101 + 16 u
= 21 u + 101
21 u + 101 = 437
21 u = 437 - 101
21 u = 336
1 u = 336 ÷ 21 = 16
Amount paid more for the skirt than the windbreaker
= (15 u + 303) - 4 u
= 15 u - 4 u + 303
= 11 u + 303
= (11 x 16) + 303
= 176 + 303
= $479
Answer(s): $479
