Tommy had $206 more money than Cody at first. After Tommy spent
12 of his money to buy a blouse and Cody spent
13 of his money to buy a sweater, they had a total of $418 left. How much more did the blouse cost than the sweater?
| |
Tommy |
Cody |
Comparing Tommy and
Cody at first |
$206 more |
|
| Before |
2x3 |
$206 |
3x2 |
| Change |
- 1x3 |
- $103 |
- 1x2 |
| After |
1x3 |
$103 |
2x2 |
| |
Tommy |
Cody |
| Before |
6 u + $206 |
6 u |
| Change |
- 3 u - $103 |
- 2 u |
| After |
3 u + $103 |
4 u |
LCM of 2 and 3 = 6
12 x 206 = 103
206 - 103 = 103
Total amount that Tommy and Cody had in the end
= 3 u + 103 + 4 u
= 7 u + 103
7 u + 103 = 418
7 u = 418 - 103
7 u = 315
1 u = 315 ÷ 7 = 45
Amount paid more for the blouse than the sweater
= (3 u + 103) - 2 u
= 3 u - 2 u + 103
= 1 u + 103
= (1 x 45) + 103
= 45 + 103
= $148
Answer(s): $148
