Valen had $304 more money than Warren at first. After Valen spent
12 of his money to buy a blouse and Warren spent
14 of his money to buy a jumpsuit, they had a total of $517 left. How much more did the blouse cost than the jumpsuit?
| |
Valen |
Warren |
Comparing Valen and
Warren at first |
$304 more |
|
| Before |
2x2 |
$304 |
4x1 |
| Change |
- 1x2 |
- $152 |
- 1x1 |
| After |
1x2 |
$152 |
3x1 |
| |
Valen |
Warren |
| Before |
4 u + $304 |
4 u |
| Change |
- 2 u - $152 |
- 1 u |
| After |
2 u + $152 |
3 u |
LCM of 2 and 4 = 4
12 x 304 = 152
304 - 152 = 152
Total amount that Valen and Warren had in the end
= 2 u + 152 + 3 u
= 5 u + 152
5 u + 152 = 517
5 u = 517 - 152
5 u = 365
1 u = 365 ÷ 5 = 73
Amount paid more for the blouse than the jumpsuit
= (2 u + 152) - 1 u
= 2 u - 1 u + 152
= 1 u + 152
= (1 x 73) + 152
= 73 + 152
= $225
Answer(s): $225
