Jeremy had $406 more money than Henry at first. After Jeremy spent
12 of his money to buy a blouse and Henry spent
14 of his money to buy a shirt, they had a total of $553 left. How much more did the blouse cost than the shirt?
|
Jeremy |
Henry |
Comparing Jeremy and Henry at first |
$406 more |
|
Before |
2x2 |
$406 |
4x1 |
Change |
- 1x2 |
- $203 |
- 1x1 |
After |
1x2 |
$203 |
3x1 |
|
Jeremy |
Henry |
Before |
4 u + $406 |
4 u |
Change |
- 2 u - $203 |
- 1 u |
After |
2 u + $203 |
3 u |
LCM of 2 and 4 = 4
12 x 406 = 203
406 - 203 = 203
Total amount that Jeremy and Henry had in the end
= 2 u + 203 + 3 u
= 5 u + 203
5 u + 203 = 553
5 u = 553 - 203
5 u = 350
1 u = 350 ÷ 5 = 70
Amount paid more for the blouse than the shirt
= (2 u + 203) - 1 u
= 2 u - 1 u + 203
= 1 u + 203
= (1 x 70) + 203
= 70 + 203
= $273
Answer(s): $273