Fabian had $489 more money than Simon at first. After Fabian spent
23 of his money to buy a jacket and Simon spent
14 of his money to buy a vest, they had a total of $501 left. How much more did the jacket cost than the vest?
|
Fabian |
Simon |
Comparing Fabian and Simon at first |
$489 more |
|
Before |
3x4 |
$489 |
4x3 |
Change |
- 2x4 |
- $326 |
- 1x3 |
After |
1x4 |
$163 |
3x3 |
|
Fabian |
Simon |
Before |
12 u + 489 |
12 u |
Change |
- 8 u - 326 |
- 3 u |
After |
4 u + 163 |
9 u |
LCM of 3 and 4 = 12
23 x 489 = 326
489 - 326 = 163
Total amount that Fabian and Simon had in the end
= 4 u + 163 + 9 u
= 13 u + 163
13 u + 163 = 501
13 u = 501 - 163
13 u = 338
1 u = 338 ÷ 13 = 26
Amount paid more for the jacket than the vest
= (8 u + 326) - 3 u
= 8 u - 3 u + 326
= 5 u + 326
= (5 x 26) + 326
= 130 + 326
= $456
Answer(s): $456