Rael had $408 more money than Glen at first. After Rael spent
23 of his money to buy a shirt and Glen spent
15 of his money to buy a blazer, they had a total of $561 left. How much more did the shirt cost than the blazer?
|
Rael |
Glen |
Comparing Rael and Glen at first |
408 more |
|
Before |
3x5 |
408 |
5x3 |
Change |
- 2x5 |
- 272 |
- 1x3 |
After |
1x5 |
136 |
4x3 |
|
Rael |
Glen |
Before |
15 u + 408 |
15 u |
Change |
- 10 u - 272 |
- 3 u |
After |
5 u + 136 |
12 u |
LCM of 3 and 5 = 15
23 x 408 = 272
408 - 272 = 136
Total amount that Rael and Glen had in the end
= 5 u + 136 + 12 u
= 17 u + 136
17 u + 136 = 561
17 u = 561 - 136
17 u = 425
1 u = 425 ÷ 17 = 25
Amount paid more for the shirt than the blazer
= (10 u + 272) - 3 u
= 10 u - 3 u + 272
= 7 u + 272
= (7 x 25) + 272
= 175 + 272
= $447
Answer: $447