Oliver had $500 more money than Charlie at first. After Oliver spent
34 of his money to buy a skirt and Charlie spent
15 of his money to buy a dress, they had a total of $524 left. How much more did the skirt cost than the dress?
|
Oliver |
Charlie |
Comparing Oliver and Charlie at first |
$500 more |
|
Before |
4x5 |
$500 |
5x4 |
Change |
- 3x5 |
- $375 |
- 1x4 |
After |
1x5 |
$125 |
4x4 |
|
Oliver |
Charlie |
Before |
20 u + $500 |
20 u |
Change |
- 15 u - $375 |
- 4 u |
After |
5 u + $125 |
16 u |
LCM of 4 and 5 = 20
34 x 500 = 375
500 - 375 = 125
Total amount that Oliver and Charlie had in the end
= 5 u + 125 + 16 u
= 21 u + 125
21 u + 125 = 524
21 u = 524 - 125
21 u = 399
1 u = 399 ÷ 21 = 19
Amount paid more for the skirt than the dress
= (15 u + 375) - 4 u
= 15 u - 4 u + 375
= 11 u + 375
= (11 x 19) + 375
= 209 + 375
= $584
Answer(s): $584