Jeremy had $464 more money than Japheth at first. After Jeremy spent
34 of his money to buy a blouse and Japheth spent
15 of his money to buy a coat, they had a total of $536 left. How much more did the blouse cost than the coat?
|
Jeremy |
Japheth |
Comparing Jeremy and Japheth at first |
$464 more |
|
Before |
4x5 |
$464 |
5x4 |
Change |
- 3x5 |
- $348 |
- 1x4 |
After |
1x5 |
$116 |
4x4 |
|
Jeremy |
Japheth |
Before |
20 u + $464 |
20 u |
Change |
- 15 u - $348 |
- 4 u |
After |
5 u + $116 |
16 u |
LCM of 4 and 5 = 20
34 x 464 = 348
464 - 348 = 116
Total amount that Jeremy and Japheth had in the end
= 5 u + 116 + 16 u
= 21 u + 116
21 u + 116 = 536
21 u = 536 - 116
21 u = 420
1 u = 420 ÷ 21 = 20
Amount paid more for the blouse than the coat
= (15 u + 348) - 4 u
= 15 u - 4 u + 348
= 11 u + 348
= (11 x 20) + 348
= 220 + 348
= $568
Answer(s): $568