Gabriel had $300 more money than Paul at first. After Gabriel spent
23 of his money to buy a jumpsuit and Paul spent
15 of his money to buy a blazer, they had a total of $423 left. How much more did the jumpsuit cost than the blazer?
| |
Gabriel |
Paul |
Comparing Gabriel and
Paul at first |
300 more |
|
| Before |
3x5 |
300 |
5x3 |
| Change |
- 2x5 |
- 200 |
- 1x3 |
| After |
1x5 |
100 |
4x3 |
| |
Gabriel |
Paul |
| Before |
15 u + 300 |
15 u |
| Change |
- 10 u - 200 |
- 3 u |
| After |
5 u + 100 |
12 u |
LCM of 3 and 5 = 15
23 x 300 = 200
300 - 200 = 100
Total amount that Gabriel and Paul had in the end
= 5 u + 100 + 12 u
= 17 u + 100
17 u + 100 = 423
17 u = 423 - 100
17 u = 323
1 u = 323 ÷ 17 = 19
Amount paid more for the jumpsuit than the blazer
= (10 u + 200) - 3 u
= 10 u - 3 u + 200
= 7 u + 200
= (7 x 19) + 200
= 133 + 200
= $333
Answer: $333
