Ian had $400 more money than Charlie at first. After Ian spent
34 of his money to buy a dress and Charlie spent
15 of his money to buy a blazer, they had a total of $520 left. How much more did the dress cost than the blazer?
| |
Ian |
Charlie |
Comparing Ian and
Charlie at first |
$400 more |
|
| Before |
4x5 |
$400 |
5x4 |
| Change |
- 3x5 |
- $300 |
- 1x4 |
| After |
1x5 |
$100 |
4x4 |
| |
Ian |
Charlie |
| Before |
20 u + $400 |
20 u |
| Change |
- 15 u - $300 |
- 4 u |
| After |
5 u + $100 |
16 u |
LCM of 4 and 5 = 20
34 x 400 = 300
400 - 300 = 100
Total amount that Ian and Charlie had in the end
= 5 u + 100 + 16 u
= 21 u + 100
21 u + 100 = 520
21 u = 520 - 100
21 u = 420
1 u = 420 ÷ 21 = 20
Amount paid more for the dress than the blazer
= (15 u + 300) - 4 u
= 15 u - 4 u + 300
= 11 u + 300
= (11 x 20) + 300
= 220 + 300
= $520
Answer(s): $520
