Nick had $396 more money than David at first. After Nick spent
34 of his money to buy a dress and David spent
15 of his money to buy a blouse, they had a total of $498 left. How much more did the dress cost than the blouse?
| |
Nick |
David |
Comparing Nick and
David at first |
$396 more |
|
| Before |
4x5 |
$396 |
5x4 |
| Change |
- 3x5 |
- $297 |
- 1x4 |
| After |
1x5 |
$99 |
4x4 |
| |
Nick |
David |
| Before |
20 u + $396 |
20 u |
| Change |
- 15 u - $297 |
- 4 u |
| After |
5 u + $99 |
16 u |
LCM of 4 and 5 = 20
34 x 396 = 297
396 - 297 = 99
Total amount that Nick and David had in the end
= 5 u + 99 + 16 u
= 21 u + 99
21 u + 99 = 498
21 u = 498 - 99
21 u = 399
1 u = 399 ÷ 21 = 19
Amount paid more for the dress than the blouse
= (15 u + 297) - 4 u
= 15 u - 4 u + 297
= 11 u + 297
= (11 x 19) + 297
= 209 + 297
= $506
Answer(s): $506
