Seth had $416 more money than Henry at first. After Seth spent
34 of his money to buy a windbreaker and Henry spent
15 of his money to buy a sweater, they had a total of $440 left. How much more did the windbreaker cost than the sweater?
| |
Seth |
Henry |
Comparing Seth and
Henry at first |
$416 more |
|
| Before |
4x5 |
$416 |
5x4 |
| Change |
- 3x5 |
- $312 |
- 1x4 |
| After |
1x5 |
$104 |
4x4 |
| |
Seth |
Henry |
| Before |
20 u + $416 |
20 u |
| Change |
- 15 u - $312 |
- 4 u |
| After |
5 u + $104 |
16 u |
LCM of 4 and 5 = 20
34 x 416 = 312
416 - 312 = 104
Total amount that Seth and Henry had in the end
= 5 u + 104 + 16 u
= 21 u + 104
21 u + 104 = 440
21 u = 440 - 104
21 u = 336
1 u = 336 ÷ 21 = 16
Amount paid more for the windbreaker than the sweater
= (15 u + 312) - 4 u
= 15 u - 4 u + 312
= 11 u + 312
= (11 x 16) + 312
= 176 + 312
= $488
Answer(s): $488
