Archie had $225 more money than Sam at first. After Archie spent
23 of his money to buy a jacket and Sam spent
14 of his money to buy a sweater, they had a total of $530 left. How much more did the jacket cost than the sweater?
| |
Archie |
Sam |
Comparing Archie and
Sam at first |
$225 more |
|
| Before |
3x4 |
$225 |
4x3 |
| Change |
- 2x4 |
- $150 |
- 1x3 |
| After |
1x4 |
$75 |
3x3 |
| |
Archie |
Sam |
| Before |
12 u + 225 |
12 u |
| Change |
- 8 u - 150 |
- 3 u |
| After |
4 u + 75 |
9 u |
LCM of 3 and 4 = 12
23 x 225 = 150
225 - 150 = 75
Total amount that Archie and Sam had in the end
= 4 u + 75 + 9 u
= 13 u + 75
13 u + 75 = 530
13 u = 530 - 75
13 u = 455
1 u = 455 ÷ 13 = 35
Amount paid more for the jacket than the sweater
= (8 u + 150) - 3 u
= 8 u - 3 u + 150
= 5 u + 150
= (5 x 35) + 150
= 175 + 150
= $325
Answer(s): $325
