Valen had $477 more money than Jeremy at first. After Valen spent
23 of his money to buy a shirt and Jeremy spent
14 of his money to buy a dress, they had a total of $406 left. How much more did the shirt cost than the dress?
| |
Valen |
Jeremy |
Comparing Valen and
Jeremy at first |
$477 more |
|
| Before |
3x4 |
$477 |
4x3 |
| Change |
- 2x4 |
- $318 |
- 1x3 |
| After |
1x4 |
$159 |
3x3 |
| |
Valen |
Jeremy |
| Before |
12 u + 477 |
12 u |
| Change |
- 8 u - 318 |
- 3 u |
| After |
4 u + 159 |
9 u |
LCM of 3 and 4 = 12
23 x 477 = 318
477 - 318 = 159
Total amount that Valen and Jeremy had in the end
= 4 u + 159 + 9 u
= 13 u + 159
13 u + 159 = 406
13 u = 406 - 159
13 u = 247
1 u = 247 ÷ 13 = 19
Amount paid more for the shirt than the dress
= (8 u + 318) - 3 u
= 8 u - 3 u + 318
= 5 u + 318
= (5 x 19) + 318
= 95 + 318
= $413
Answer(s): $413
