Rael had $273 more money than Carl at first. After Rael spent
23 of his money to buy a jumpsuit and Carl spent
15 of his money to buy a jacket, they had a total of $533 left. How much more did the jumpsuit cost than the jacket?
|
Rael |
Carl |
Comparing Rael and Carl at first |
273 more |
|
Before |
3x5 |
273 |
5x3 |
Change |
- 2x5 |
- 182 |
- 1x3 |
After |
1x5 |
91 |
4x3 |
|
Rael |
Carl |
Before |
15 u + 273 |
15 u |
Change |
- 10 u - 182 |
- 3 u |
After |
5 u + 91 |
12 u |
LCM of 3 and 5 = 15
23 x 273 = 182
273 - 182 = 91
Total amount that Rael and Carl had in the end
= 5 u + 91 + 12 u
= 17 u + 91
17 u + 91 = 533
17 u = 533 - 91
17 u = 442
1 u = 442 ÷ 17 = 26
Amount paid more for the jumpsuit than the jacket
= (10 u + 182) - 3 u
= 10 u - 3 u + 182
= 7 u + 182
= (7 x 26) + 182
= 182 + 182
= $364
Answer: $364