Brandon had $288 more money than John at first. After Brandon spent
23 of his money to buy a sweater and John spent
15 of his money to buy a jacket, they had a total of $419 left. How much more did the sweater cost than the jacket?
| |
Brandon |
John |
Comparing Brandon and
John at first |
288 more |
|
| Before |
3x5 |
288 |
5x3 |
| Change |
- 2x5 |
- 192 |
- 1x3 |
| After |
1x5 |
96 |
4x3 |
| |
Brandon |
John |
| Before |
15 u + 288 |
15 u |
| Change |
- 10 u - 192 |
- 3 u |
| After |
5 u + 96 |
12 u |
LCM of 3 and 5 = 15
23 x 288 = 192
288 - 192 = 96
Total amount that Brandon and John had in the end
= 5 u + 96 + 12 u
= 17 u + 96
17 u + 96 = 419
17 u = 419 - 96
17 u = 323
1 u = 323 ÷ 17 = 19
Amount paid more for the sweater than the jacket
= (10 u + 192) - 3 u
= 10 u - 3 u + 192
= 7 u + 192
= (7 x 19) + 192
= 133 + 192
= $325
Answer: $325
