Tommy had $452 more money than John at first. After Tommy spent
34 of his money to buy a dress and John spent
15 of his money to buy a shirt, they had a total of $533 left. How much more did the dress cost than the shirt?
| |
Tommy |
John |
Comparing Tommy and
John at first |
$452 more |
|
| Before |
4x5 |
$452 |
5x4 |
| Change |
- 3x5 |
- $339 |
- 1x4 |
| After |
1x5 |
$113 |
4x4 |
| |
Tommy |
John |
| Before |
20 u + $452 |
20 u |
| Change |
- 15 u - $339 |
- 4 u |
| After |
5 u + $113 |
16 u |
LCM of 4 and 5 = 20
34 x 452 = 339
452 - 339 = 113
Total amount that Tommy and John had in the end
= 5 u + 113 + 16 u
= 21 u + 113
21 u + 113 = 533
21 u = 533 - 113
21 u = 420
1 u = 420 ÷ 21 = 20
Amount paid more for the dress than the shirt
= (15 u + 339) - 4 u
= 15 u - 4 u + 339
= 11 u + 339
= (11 x 20) + 339
= 220 + 339
= $559
Answer(s): $559
