Flynn had $340 more money than Gabriel at first. After Flynn spent
34 of his money to buy a blouse and Gabriel spent
15 of his money to buy a vest, they had a total of $421 left. How much more did the blouse cost than the vest?
| |
Flynn |
Gabriel |
Comparing Flynn and
Gabriel at first |
$340 more |
|
| Before |
4x5 |
$340 |
5x4 |
| Change |
- 3x5 |
- $255 |
- 1x4 |
| After |
1x5 |
$85 |
4x4 |
| |
Flynn |
Gabriel |
| Before |
20 u + $340 |
20 u |
| Change |
- 15 u - $255 |
- 4 u |
| After |
5 u + $85 |
16 u |
LCM of 4 and 5 = 20
34 x 340 = 255
340 - 255 = 85
Total amount that Flynn and Gabriel had in the end
= 5 u + 85 + 16 u
= 21 u + 85
21 u + 85 = 421
21 u = 421 - 85
21 u = 336
1 u = 336 ÷ 21 = 16
Amount paid more for the blouse than the vest
= (15 u + 255) - 4 u
= 15 u - 4 u + 255
= 11 u + 255
= (11 x 16) + 255
= 176 + 255
= $431
Answer(s): $431
