Zeph had $363 more money than Billy at first. After Zeph spent
23 of his money to buy a blouse and Billy spent
14 of his money to buy a sweater, they had a total of $563 left. How much more did the blouse cost than the sweater?
| |
Zeph |
Billy |
Comparing Zeph and
Billy at first |
$363 more |
|
| Before |
3x4 |
$363 |
4x3 |
| Change |
- 2x4 |
- $242 |
- 1x3 |
| After |
1x4 |
$121 |
3x3 |
| |
Zeph |
Billy |
| Before |
12 u + 363 |
12 u |
| Change |
- 8 u - 242 |
- 3 u |
| After |
4 u + 121 |
9 u |
LCM of 3 and 4 = 12
23 x 363 = 242
363 - 242 = 121
Total amount that Zeph and Billy had in the end
= 4 u + 121 + 9 u
= 13 u + 121
13 u + 121 = 563
13 u = 563 - 121
13 u = 442
1 u = 442 ÷ 13 = 34
Amount paid more for the blouse than the sweater
= (8 u + 242) - 3 u
= 8 u - 3 u + 242
= 5 u + 242
= (5 x 34) + 242
= 170 + 242
= $412
Answer(s): $412
