Sam had $384 more money than Bobby at first. After Sam spent
23 of his money to buy a jacket and Bobby spent
15 of his money to buy a blazer, they had a total of $451 left. How much more did the jacket cost than the blazer?
| |
Sam |
Bobby |
Comparing Sam and
Bobby at first |
384 more |
|
| Before |
3x5 |
384 |
5x3 |
| Change |
- 2x5 |
- 256 |
- 1x3 |
| After |
1x5 |
128 |
4x3 |
| |
Sam |
Bobby |
| Before |
15 u + 384 |
15 u |
| Change |
- 10 u - 256 |
- 3 u |
| After |
5 u + 128 |
12 u |
LCM of 3 and 5 = 15
23 x 384 = 256
384 - 256 = 128
Total amount that Sam and Bobby had in the end
= 5 u + 128 + 12 u
= 17 u + 128
17 u + 128 = 451
17 u = 451 - 128
17 u = 323
1 u = 323 ÷ 17 = 19
Amount paid more for the jacket than the blazer
= (10 u + 256) - 3 u
= 10 u - 3 u + 256
= 7 u + 256
= (7 x 19) + 256
= 133 + 256
= $389
Answer: $389
