Luis had $234 more money than Simon at first. After Luis spent
23 of his money to buy a jacket and Simon spent
15 of his money to buy a vest, they had a total of $571 left. How much more did the jacket cost than the vest?
| |
Luis |
Simon |
Comparing Luis and
Simon at first |
234 more |
|
| Before |
3x5 |
234 |
5x3 |
| Change |
- 2x5 |
- 156 |
- 1x3 |
| After |
1x5 |
78 |
4x3 |
| |
Luis |
Simon |
| Before |
15 u + 234 |
15 u |
| Change |
- 10 u - 156 |
- 3 u |
| After |
5 u + 78 |
12 u |
LCM of 3 and 5 = 15
23 x 234 = 156
234 - 156 = 78
Total amount that Luis and Simon had in the end
= 5 u + 78 + 12 u
= 17 u + 78
17 u + 78 = 571
17 u = 571 - 78
17 u = 493
1 u = 493 ÷ 17 = 29
Amount paid more for the jacket than the vest
= (10 u + 156) - 3 u
= 10 u - 3 u + 156
= 7 u + 156
= (7 x 29) + 156
= 203 + 156
= $359
Answer: $359
