Wesley had $258 more money than Simon at first. After Wesley spent
12 of his money to buy a sweater and Simon spent
13 of his money to buy a blouse, they had a total of $493 left. How much more did the sweater cost than the blouse?
|
Wesley |
Simon |
Comparing Wesley and Simon at first |
$258 more |
|
Before |
2x3 |
$258 |
3x2 |
Change |
- 1x3 |
- $129 |
- 1x2 |
After |
1x3 |
$129 |
2x2 |
|
Wesley |
Simon |
Before |
6 u + $258 |
6 u |
Change |
- 3 u - $129 |
- 2 u |
After |
3 u + $129 |
4 u |
LCM of 2 and 3 = 6
12 x 258 = 129
258 - 129 = 129
Total amount that Wesley and Simon had in the end
= 3 u + 129 + 4 u
= 7 u + 129
7 u + 129 = 493
7 u = 493 - 129
7 u = 364
1 u = 364 ÷ 7 = 52
Amount paid more for the sweater than the blouse
= (3 u + 129) - 2 u
= 3 u - 2 u + 129
= 1 u + 129
= (1 x 52) + 129
= 52 + 129
= $181
Answer(s): $181