Luis had $336 more money than Oscar at first. After Luis spent
23 of his money to buy a jumpsuit and Oscar spent
15 of his money to buy a sweater, they had a total of $571 left. How much more did the jumpsuit cost than the sweater?
| |
Luis |
Oscar |
Comparing Luis and
Oscar at first |
336 more |
|
| Before |
3x5 |
336 |
5x3 |
| Change |
- 2x5 |
- 224 |
- 1x3 |
| After |
1x5 |
112 |
4x3 |
| |
Luis |
Oscar |
| Before |
15 u + 336 |
15 u |
| Change |
- 10 u - 224 |
- 3 u |
| After |
5 u + 112 |
12 u |
LCM of 3 and 5 = 15
23 x 336 = 224
336 - 224 = 112
Total amount that Luis and Oscar had in the end
= 5 u + 112 + 12 u
= 17 u + 112
17 u + 112 = 571
17 u = 571 - 112
17 u = 459
1 u = 459 ÷ 17 = 27
Amount paid more for the jumpsuit than the sweater
= (10 u + 224) - 3 u
= 10 u - 3 u + 224
= 7 u + 224
= (7 x 27) + 224
= 189 + 224
= $413
Answer: $413
