Justin had $444 more money than Billy at first. After Justin spent
23 of his money to buy a windbreaker and Billy spent
15 of his money to buy a dress, they had a total of $539 left. How much more did the windbreaker cost than the dress?
| |
Justin |
Billy |
Comparing Justin and
Billy at first |
444 more |
|
| Before |
3x5 |
444 |
5x3 |
| Change |
- 2x5 |
- 296 |
- 1x3 |
| After |
1x5 |
148 |
4x3 |
| |
Justin |
Billy |
| Before |
15 u + 444 |
15 u |
| Change |
- 10 u - 296 |
- 3 u |
| After |
5 u + 148 |
12 u |
LCM of 3 and 5 = 15
23 x 444 = 296
444 - 296 = 148
Total amount that Justin and Billy had in the end
= 5 u + 148 + 12 u
= 17 u + 148
17 u + 148 = 539
17 u = 539 - 148
17 u = 391
1 u = 391 ÷ 17 = 23
Amount paid more for the windbreaker than the dress
= (10 u + 296) - 3 u
= 10 u - 3 u + 296
= 7 u + 296
= (7 x 23) + 296
= 161 + 296
= $457
Answer: $457
