At first, Sam, Vaidev and George had the same amount of money. After George spent some of his money, Sam spent
37 of his money and Vaidev spent
34 of his money, Sam had $126 more than Vaidev. In the end, the total amount of money the three boys had left was $477. How much money did George spend?
|
Sam |
Vaidev |
George |
Total |
Before |
7x4 = 28 u |
4x7 = 28 u |
28 u |
|
Change |
- 3x4 = - 12 u |
- 3x7 = - 21 u |
- ? |
|
After |
4x4 = 16 u |
1x7 = 7 u |
|
$477 |
The amount that Sam and Vaidev each had at first is the same. Make the amount that they each had the same. LCM of 7 and 4 is 28.
Amount that Sam had more than Vaidev in the end
= 16 u - 7 u
= 9 u
9 u = 126
1 u = 126 ÷ 9 = 14
Amount that Sam and Vaidev had in the end
= 16 u + 7 u
= 23 u
= 23 x 14
= $322
Amount that George had in the end
= 477 - 322
= $155
Amount that George had at first
= 28 u
= 28 x 14
= $392
Amount that George spent
= 392 - 155
= $237
Answer(s): $237