Luis had $279 more money than Riordan at first. After Luis spent
23 of his money to buy a jumpsuit and Riordan spent
15 of his money to buy a blouse, they had a total of $518 left. How much more did the jumpsuit cost than the blouse?
|
Luis |
Riordan |
Comparing Luis and Riordan at first |
279 more |
|
Before |
3x5 |
279 |
5x3 |
Change |
- 2x5 |
- 186 |
- 1x3 |
After |
1x5 |
93 |
4x3 |
|
Luis |
Riordan |
Before |
15 u + 279 |
15 u |
Change |
- 10 u - 186 |
- 3 u |
After |
5 u + 93 |
12 u |
LCM of 3 and 5 = 15
23 x 279 = 186
279 - 186 = 93
Total amount that Luis and Riordan had in the end
= 5 u + 93 + 12 u
= 17 u + 93
17 u + 93 = 518
17 u = 518 - 93
17 u = 425
1 u = 425 ÷ 17 = 25
Amount paid more for the jumpsuit than the blouse
= (10 u + 186) - 3 u
= 10 u - 3 u + 186
= 7 u + 186
= (7 x 25) + 186
= 175 + 186
= $361
Answer: $361