Eric had $231 more money than Flynn at first. After Eric spent
23 of his money to buy a windbreaker and Flynn spent
15 of his money to buy a skirt, they had a total of $570 left. How much more did the windbreaker cost than the skirt?
| |
Eric |
Flynn |
Comparing Eric and
Flynn at first |
231 more |
|
| Before |
3x5 |
231 |
5x3 |
| Change |
- 2x5 |
- 154 |
- 1x3 |
| After |
1x5 |
77 |
4x3 |
| |
Eric |
Flynn |
| Before |
15 u + 231 |
15 u |
| Change |
- 10 u - 154 |
- 3 u |
| After |
5 u + 77 |
12 u |
LCM of 3 and 5 = 15
23 x 231 = 154
231 - 154 = 77
Total amount that Eric and Flynn had in the end
= 5 u + 77 + 12 u
= 17 u + 77
17 u + 77 = 570
17 u = 570 - 77
17 u = 493
1 u = 493 ÷ 17 = 29
Amount paid more for the windbreaker than the skirt
= (10 u + 154) - 3 u
= 10 u - 3 u + 154
= 7 u + 154
= (7 x 29) + 154
= 203 + 154
= $357
Answer: $357
