At first, Seth, Cody and Andy had the same amount of money. After Andy spent some of his money, Seth spent
27 of his money and Cody spent
35 of his money, Seth had $330 more than Cody. In the end, the total amount of money the three boys had left was $1330. How much money did Andy spend?
|
Seth |
Cody |
Andy |
Total |
Before |
7x5 = 35 u |
5x7 = 35 u |
35 u |
|
Change |
- 2x5 = - 10 u |
- 3x7 = - 21 u |
- ? |
|
After |
5x5 = 25 u |
2x7 = 14 u |
|
$1330 |
The amount that Seth and Cody each had at first is the same. Make the amount that they each had the same. LCM of 7 and 5 is 35.
Amount that Seth had more than Cody in the end
= 25 u - 14 u
= 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
Amount that Seth and Cody had in the end
= 25 u + 14 u
= 39 u
= 39 x 30
= $1170
Amount that Andy had in the end
= 1330 - 1170
= $160
Amount that Andy had at first
= 35 u
= 35 x 30
= $1050
Amount that Andy spent
= 1050 - 160
= $890
Answer(s): $890