At first, George, Oscar and Albert had the same amount of money. After Albert spent some of his money, George spent
27 of his money and Oscar spent
12 of his money, George had $45 more than Oscar. In the end, the total amount of money the three boys had left was $403. How much money did Albert spend?
|
George |
Oscar |
Albert |
Total |
Before |
7x2 = 14 u |
2x7 = 14 u |
14 u |
|
Change |
- 2x2 = - 4 u |
- 1x7 = - 7 u |
- ? |
|
After |
5x2 = 10 u |
1x7 = 7 u |
|
$403 |
The amount that George and Oscar each had at first is the same. Make the amount that they each had the same. LCM of 7 and 2 is 14.
Amount that George had more than Oscar in the end
= 10 u - 7 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that George and Oscar had in the end
= 10 u + 7 u
= 17 u
= 17 x 15
= $255
Amount that Albert had in the end
= 403 - 255
= $148
Amount that Albert had at first
= 14 u
= 14 x 15
= $210
Amount that Albert spent
= 210 - 148
= $62
Answer(s): $62