Ethan had $336 more money than Seth at first. After Ethan spent
23 of his money to buy a dress and Seth spent
14 of his money to buy a shirt, they had a total of $528 left. How much more did the dress cost than the shirt?
| |
Ethan |
Seth |
Comparing Ethan and
Seth at first |
$336 more |
|
| Before |
3x4 |
$336 |
4x3 |
| Change |
- 2x4 |
- $224 |
- 1x3 |
| After |
1x4 |
$112 |
3x3 |
| |
Ethan |
Seth |
| Before |
12 u + 336 |
12 u |
| Change |
- 8 u - 224 |
- 3 u |
| After |
4 u + 112 |
9 u |
LCM of 3 and 4 = 12
23 x 336 = 224
336 - 224 = 112
Total amount that Ethan and Seth had in the end
= 4 u + 112 + 9 u
= 13 u + 112
13 u + 112 = 528
13 u = 528 - 112
13 u = 416
1 u = 416 ÷ 13 = 32
Amount paid more for the dress than the shirt
= (8 u + 224) - 3 u
= 8 u - 3 u + 224
= 5 u + 224
= (5 x 32) + 224
= 160 + 224
= $384
Answer(s): $384
