Lee had $220 more money than Simon at first. After Lee spent
34 of his money to buy a jacket and Simon spent
15 of his money to buy a jumpsuit, they had a total of $496 left. How much more did the jacket cost than the jumpsuit?
| |
Lee |
Simon |
Comparing Lee and
Simon at first |
$220 more |
|
| Before |
4x5 |
$220 |
5x4 |
| Change |
- 3x5 |
- $165 |
- 1x4 |
| After |
1x5 |
$55 |
4x4 |
| |
Lee |
Simon |
| Before |
20 u + $220 |
20 u |
| Change |
- 15 u - $165 |
- 4 u |
| After |
5 u + $55 |
16 u |
LCM of 4 and 5 = 20
34 x 220 = 165
220 - 165 = 55
Total amount that Lee and Simon had in the end
= 5 u + 55 + 16 u
= 21 u + 55
21 u + 55 = 496
21 u = 496 - 55
21 u = 441
1 u = 441 ÷ 21 = 21
Amount paid more for the jacket than the jumpsuit
= (15 u + 165) - 4 u
= 15 u - 4 u + 165
= 11 u + 165
= (11 x 21) + 165
= 231 + 165
= $396
Answer(s): $396
