Tommy had $448 more money than Xavier at first. After Tommy spent
12 of his money to buy a shirt and Xavier spent
13 of his money to buy a blouse, they had a total of $546 left. How much more did the shirt cost than the blouse?
|
Tommy |
Xavier |
Comparing Tommy and Xavier at first |
$448 more |
|
Before |
2x3 |
$448 |
3x2 |
Change |
- 1x3 |
- $224 |
- 1x2 |
After |
1x3 |
$224 |
2x2 |
|
Tommy |
Xavier |
Before |
6 u + $448 |
6 u |
Change |
- 3 u - $224 |
- 2 u |
After |
3 u + $224 |
4 u |
LCM of 2 and 3 = 6
12 x 448 = 224
448 - 224 = 224
Total amount that Tommy and Xavier had in the end
= 3 u + 224 + 4 u
= 7 u + 224
7 u + 224 = 546
7 u = 546 - 224
7 u = 322
1 u = 322 ÷ 7 = 46
Amount paid more for the shirt than the blouse
= (3 u + 224) - 2 u
= 3 u - 2 u + 224
= 1 u + 224
= (1 x 46) + 224
= 46 + 224
= $270
Answer(s): $270