Japheth had $420 more money than Dylan at first. After Japheth spent
23 of his money to buy a blouse and Dylan spent
15 of his money to buy a vest, they had a total of $446 left. How much more did the blouse cost than the vest?
|
Japheth |
Dylan |
Comparing Japheth and Dylan at first |
420 more |
|
Before |
3x5 |
420 |
5x3 |
Change |
- 2x5 |
- 280 |
- 1x3 |
After |
1x5 |
140 |
4x3 |
|
Japheth |
Dylan |
Before |
15 u + 420 |
15 u |
Change |
- 10 u - 280 |
- 3 u |
After |
5 u + 140 |
12 u |
LCM of 3 and 5 = 15
23 x 420 = 280
420 - 280 = 140
Total amount that Japheth and Dylan had in the end
= 5 u + 140 + 12 u
= 17 u + 140
17 u + 140 = 446
17 u = 446 - 140
17 u = 306
1 u = 306 ÷ 17 = 18
Amount paid more for the blouse than the vest
= (10 u + 280) - 3 u
= 10 u - 3 u + 280
= 7 u + 280
= (7 x 18) + 280
= 126 + 280
= $406
Answer: $406