At first, Charlie, Julian and Ben had the same amount of money. After Ben spent some of his money, Charlie spent
27 of his money and Julian spent
35 of his money, Charlie had $231 more than Julian. In the end, the total amount of money the three boys had left was $856. How much money did Ben spend?
|
Charlie |
Julian |
Ben |
Total |
Before |
7x5 = 35 u |
5x7 = 35 u |
35 u |
|
Change |
- 2x5 = - 10 u |
- 3x7 = - 21 u |
- ? |
|
After |
5x5 = 25 u |
2x7 = 14 u |
|
$856 |
The amount that Charlie and Julian 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 Charlie had more than Julian in the end
= 25 u - 14 u
= 11 u
11 u = 231
1 u = 231 ÷ 11 = 21
Amount that Charlie and Julian had in the end
= 25 u + 14 u
= 39 u
= 39 x 21
= $819
Amount that Ben had in the end
= 856 - 819
= $37
Amount that Ben had at first
= 35 u
= 35 x 21
= $735
Amount that Ben spent
= 735 - 37
= $698
Answer(s): $698