Charlie had $243 more money than Jenson at first. After Charlie spent
23 of his money to buy a dress and Jenson spent
14 of his money to buy a blouse, they had a total of $419 left. How much more did the dress cost than the blouse?
| |
Charlie |
Jenson |
Comparing Charlie and
Jenson at first |
$243 more |
|
| Before |
3x4 |
$243 |
4x3 |
| Change |
- 2x4 |
- $162 |
- 1x3 |
| After |
1x4 |
$81 |
3x3 |
| |
Charlie |
Jenson |
| Before |
12 u + 243 |
12 u |
| Change |
- 8 u - 162 |
- 3 u |
| After |
4 u + 81 |
9 u |
LCM of 3 and 4 = 12
23 x 243 = 162
243 - 162 = 81
Total amount that Charlie and Jenson had in the end
= 4 u + 81 + 9 u
= 13 u + 81
13 u + 81 = 419
13 u = 419 - 81
13 u = 338
1 u = 338 ÷ 13 = 26
Amount paid more for the dress than the blouse
= (8 u + 162) - 3 u
= 8 u - 3 u + 162
= 5 u + 162
= (5 x 26) + 162
= 130 + 162
= $292
Answer(s): $292
