Tim had $216 more money than Carl at first. After Tim spent
12 of his money to buy a skirt and Carl spent
14 of his money to buy a blouse, they had a total of $488 left. How much more did the skirt cost than the blouse?
| |
Tim |
Carl |
Comparing Tim and
Carl at first |
$216 more |
|
| Before |
2x2 |
$216 |
4x1 |
| Change |
- 1x2 |
- $108 |
- 1x1 |
| After |
1x2 |
$108 |
3x1 |
| |
Tim |
Carl |
| Before |
4 u + $216 |
4 u |
| Change |
- 2 u - $108 |
- 1 u |
| After |
2 u + $108 |
3 u |
LCM of 2 and 4 = 4
12 x 216 = 108
216 - 108 = 108
Total amount that Tim and Carl had in the end
= 2 u + 108 + 3 u
= 5 u + 108
5 u + 108 = 488
5 u = 488 - 108
5 u = 380
1 u = 380 ÷ 5 = 76
Amount paid more for the skirt than the blouse
= (2 u + 108) - 1 u
= 2 u - 1 u + 108
= 1 u + 108
= (1 x 76) + 108
= 76 + 108
= $184
Answer(s): $184
