Albert had $462 more money than Eric at first. After Albert spent
23 of his money to buy a blouse and Eric spent
14 of his money to buy a blazer, they had a total of $583 left. How much more did the blouse cost than the blazer?
| |
Albert |
Eric |
Comparing Albert and
Eric at first |
$462 more |
|
| Before |
3x4 |
$462 |
4x3 |
| Change |
- 2x4 |
- $308 |
- 1x3 |
| After |
1x4 |
$154 |
3x3 |
| |
Albert |
Eric |
| Before |
12 u + 462 |
12 u |
| Change |
- 8 u - 308 |
- 3 u |
| After |
4 u + 154 |
9 u |
LCM of 3 and 4 = 12
23 x 462 = 308
462 - 308 = 154
Total amount that Albert and Eric had in the end
= 4 u + 154 + 9 u
= 13 u + 154
13 u + 154 = 583
13 u = 583 - 154
13 u = 429
1 u = 429 ÷ 13 = 33
Amount paid more for the blouse than the blazer
= (8 u + 308) - 3 u
= 8 u - 3 u + 308
= 5 u + 308
= (5 x 33) + 308
= 165 + 308
= $473
Answer(s): $473
