Cody had $258 more money than Gabriel at first. After Cody spent
23 of his money to buy a sweater and Gabriel spent
15 of his money to buy a shirt, they had a total of $579 left. How much more did the sweater cost than the shirt?
| |
Cody |
Gabriel |
Comparing Cody and
Gabriel at first |
258 more |
|
| Before |
3x5 |
258 |
5x3 |
| Change |
- 2x5 |
- 172 |
- 1x3 |
| After |
1x5 |
86 |
4x3 |
| |
Cody |
Gabriel |
| Before |
15 u + 258 |
15 u |
| Change |
- 10 u - 172 |
- 3 u |
| After |
5 u + 86 |
12 u |
LCM of 3 and 5 = 15
23 x 258 = 172
258 - 172 = 86
Total amount that Cody and Gabriel had in the end
= 5 u + 86 + 12 u
= 17 u + 86
17 u + 86 = 579
17 u = 579 - 86
17 u = 493
1 u = 493 ÷ 17 = 29
Amount paid more for the sweater than the shirt
= (10 u + 172) - 3 u
= 10 u - 3 u + 172
= 7 u + 172
= (7 x 29) + 172
= 203 + 172
= $375
Answer: $375
