Sam had $216 more money than Billy at first. After Sam spent
34 of his money to buy a dress and Billy spent
15 of his money to buy a jumpsuit, they had a total of $453 left. How much more did the dress cost than the jumpsuit?
| |
Sam |
Billy |
Comparing Sam and
Billy at first |
$216 more |
|
| Before |
4x5 |
$216 |
5x4 |
| Change |
- 3x5 |
- $162 |
- 1x4 |
| After |
1x5 |
$54 |
4x4 |
| |
Sam |
Billy |
| Before |
20 u + $216 |
20 u |
| Change |
- 15 u - $162 |
- 4 u |
| After |
5 u + $54 |
16 u |
LCM of 4 and 5 = 20
34 x 216 = 162
216 - 162 = 54
Total amount that Sam and Billy had in the end
= 5 u + 54 + 16 u
= 21 u + 54
21 u + 54 = 453
21 u = 453 - 54
21 u = 399
1 u = 399 ÷ 21 = 19
Amount paid more for the dress than the jumpsuit
= (15 u + 162) - 4 u
= 15 u - 4 u + 162
= 11 u + 162
= (11 x 19) + 162
= 209 + 162
= $371
Answer(s): $371
