Julian had $285 more money than Warren at first. After Julian spent
23 of his money to buy a jumpsuit and Warren spent
14 of his money to buy a coat, they had a total of $472 left. How much more did the jumpsuit cost than the coat?
| |
Julian |
Warren |
Comparing Julian and
Warren at first |
$285 more |
|
| Before |
3x4 |
$285 |
4x3 |
| Change |
- 2x4 |
- $190 |
- 1x3 |
| After |
1x4 |
$95 |
3x3 |
| |
Julian |
Warren |
| Before |
12 u + 285 |
12 u |
| Change |
- 8 u - 190 |
- 3 u |
| After |
4 u + 95 |
9 u |
LCM of 3 and 4 = 12
23 x 285 = 190
285 - 190 = 95
Total amount that Julian and Warren had in the end
= 4 u + 95 + 9 u
= 13 u + 95
13 u + 95 = 472
13 u = 472 - 95
13 u = 377
1 u = 377 ÷ 13 = 29
Amount paid more for the jumpsuit than the coat
= (8 u + 190) - 3 u
= 8 u - 3 u + 190
= 5 u + 190
= (5 x 29) + 190
= 145 + 190
= $335
Answer(s): $335
