Lee had $404 more money than Jeremy at first. After Lee spent
12 of his money to buy a blouse and Jeremy spent
14 of his money to buy a jumpsuit, they had a total of $457 left. How much more did the blouse cost than the jumpsuit?
|
Lee |
Jeremy |
Comparing Lee and Jeremy at first |
$404 more |
|
Before |
2x2 |
$404 |
4x1 |
Change |
- 1x2 |
- $202 |
- 1x1 |
After |
1x2 |
$202 |
3x1 |
|
Lee |
Jeremy |
Before |
4 u + $404 |
4 u |
Change |
- 2 u - $202 |
- 1 u |
After |
2 u + $202 |
3 u |
LCM of 2 and 4 = 4
12 x 404 = 202
404 - 202 = 202
Total amount that Lee and Jeremy had in the end
= 2 u + 202 + 3 u
= 5 u + 202
5 u + 202 = 457
5 u = 457 - 202
5 u = 255
1 u = 255 ÷ 5 = 51
Amount paid more for the blouse than the jumpsuit
= (2 u + 202) - 1 u
= 2 u - 1 u + 202
= 1 u + 202
= (1 x 51) + 202
= 51 + 202
= $253
Answer(s): $253