Cody had $456 more money than Oliver at first. After Cody spent
23 of his money to buy a blazer and Oliver spent
15 of his money to buy a jacket, they had a total of $407 left. How much more did the blazer cost than the jacket?
| |
Cody |
Oliver |
Comparing Cody and
Oliver at first |
456 more |
|
| Before |
3x5 |
456 |
5x3 |
| Change |
- 2x5 |
- 304 |
- 1x3 |
| After |
1x5 |
152 |
4x3 |
| |
Cody |
Oliver |
| Before |
15 u + 456 |
15 u |
| Change |
- 10 u - 304 |
- 3 u |
| After |
5 u + 152 |
12 u |
LCM of 3 and 5 = 15
23 x 456 = 304
456 - 304 = 152
Total amount that Cody and Oliver had in the end
= 5 u + 152 + 12 u
= 17 u + 152
17 u + 152 = 407
17 u = 407 - 152
17 u = 255
1 u = 255 ÷ 17 = 15
Amount paid more for the blazer than the jacket
= (10 u + 304) - 3 u
= 10 u - 3 u + 304
= 7 u + 304
= (7 x 15) + 304
= 105 + 304
= $409
Answer: $409
