Ivan had $456 more money than Liam at first. After Ivan spent
34 of his money to buy a dress and Liam spent
15 of his money to buy a blouse, they had a total of $450 left. How much more did the dress cost than the blouse?
| |
Ivan |
Liam |
Comparing Ivan and
Liam at first |
$456 more |
|
| Before |
4x5 |
$456 |
5x4 |
| Change |
- 3x5 |
- $342 |
- 1x4 |
| After |
1x5 |
$114 |
4x4 |
| |
Ivan |
Liam |
| Before |
20 u + $456 |
20 u |
| Change |
- 15 u - $342 |
- 4 u |
| After |
5 u + $114 |
16 u |
LCM of 4 and 5 = 20
34 x 456 = 342
456 - 342 = 114
Total amount that Ivan and Liam had in the end
= 5 u + 114 + 16 u
= 21 u + 114
21 u + 114 = 450
21 u = 450 - 114
21 u = 336
1 u = 336 ÷ 21 = 16
Amount paid more for the dress than the blouse
= (15 u + 342) - 4 u
= 15 u - 4 u + 342
= 11 u + 342
= (11 x 16) + 342
= 176 + 342
= $518
Answer(s): $518
