Paul had $306 more money than Tommy at first. After Paul spent
23 of his money to buy a skirt and Tommy spent
15 of his money to buy a jacket, they had a total of $459 left. How much more did the skirt cost than the jacket?
|
Paul |
Tommy |
Comparing Paul and Tommy at first |
306 more |
|
Before |
3x5 |
306 |
5x3 |
Change |
- 2x5 |
- 204 |
- 1x3 |
After |
1x5 |
102 |
4x3 |
|
Paul |
Tommy |
Before |
15 u + 306 |
15 u |
Change |
- 10 u - 204 |
- 3 u |
After |
5 u + 102 |
12 u |
LCM of 3 and 5 = 15
23 x 306 = 204
306 - 204 = 102
Total amount that Paul and Tommy had in the end
= 5 u + 102 + 12 u
= 17 u + 102
17 u + 102 = 459
17 u = 459 - 102
17 u = 357
1 u = 357 ÷ 17 = 21
Amount paid more for the skirt than the jacket
= (10 u + 204) - 3 u
= 10 u - 3 u + 204
= 7 u + 204
= (7 x 21) + 204
= 147 + 204
= $351
Answer: $351