Jack had $318 more money than Albert at first. After Jack spent
12 of his money to buy a skirt and Albert spent
13 of his money to buy a blouse, they had a total of $446 left. How much more did the skirt cost than the blouse?
|
Jack |
Albert |
Comparing Jack and Albert at first |
$318 more |
|
Before |
2x3 |
$318 |
3x2 |
Change |
- 1x3 |
- $159 |
- 1x2 |
After |
1x3 |
$159 |
2x2 |
|
Jack |
Albert |
Before |
6 u + $318 |
6 u |
Change |
- 3 u - $159 |
- 2 u |
After |
3 u + $159 |
4 u |
LCM of 2 and 3 = 6
12 x 318 = 159
318 - 159 = 159
Total amount that Jack and Albert had in the end
= 3 u + 159 + 4 u
= 7 u + 159
7 u + 159 = 446
7 u = 446 - 159
7 u = 287
1 u = 287 ÷ 7 = 41
Amount paid more for the skirt than the blouse
= (3 u + 159) - 2 u
= 3 u - 2 u + 159
= 1 u + 159
= (1 x 41) + 159
= 41 + 159
= $200
Answer(s): $200