Pierre had $456 more money than Brandon at first. After Pierre spent
23 of his money to buy a jacket and Brandon spent
14 of his money to buy a jumpsuit, they had a total of $477 left. How much more did the jacket cost than the jumpsuit?
| |
Pierre |
Brandon |
Comparing Pierre and
Brandon at first |
$456 more |
|
| Before |
3x4 |
$456 |
4x3 |
| Change |
- 2x4 |
- $304 |
- 1x3 |
| After |
1x4 |
$152 |
3x3 |
| |
Pierre |
Brandon |
| Before |
12 u + 456 |
12 u |
| Change |
- 8 u - 304 |
- 3 u |
| After |
4 u + 152 |
9 u |
LCM of 3 and 4 = 12
23 x 456 = 304
456 - 304 = 152
Total amount that Pierre and Brandon had in the end
= 4 u + 152 + 9 u
= 13 u + 152
13 u + 152 = 477
13 u = 477 - 152
13 u = 325
1 u = 325 ÷ 13 = 25
Amount paid more for the jacket than the jumpsuit
= (8 u + 304) - 3 u
= 8 u - 3 u + 304
= 5 u + 304
= (5 x 25) + 304
= 125 + 304
= $429
Answer(s): $429
