Oliver, Tommy, Fred and Glen shared $420. Glen received
14 of the total amount of money received by Oliver, Tommy and Fred. Oliver received
35 of the total amount for Tommy and Fred. Tommy received
12 as much money as Fred. If Tommy gave all his money to Glen, how much did Glen have more than Oliver in the end?
Oliver |
Tommy |
Fred |
Glen |
Total |
4x6 |
1x6 |
5x6 |
3x3 |
5x3 |
|
|
|
1x5 |
2x5 |
|
|
9 u |
5 u |
10 u |
6 u |
30 u |
The total amount that Tommy and Fred have is repeated. Make the total amount of Tommy and Fred the same. LCM of 3 and 5 is 15.
The total amount that Oliver, Tommy and Fred have is repeated. Make the total amount of Oliver, Tommy and Fred the same. LCM of 24 and 4 is 24.
Total amount that Oliver, Tommy, Fred and Glen shared = 30 u
30 u = 420
1 u = 420 ÷ 30 = 14
|
Oliver |
Tommy |
Fred |
Glen |
Before |
9 u |
5 u |
10 u |
6 u |
Change |
|
- 5 u |
|
+ 5 u |
After |
9 u |
0 u |
10 u |
11 u |
Amount that Glen had if Tommy gave him all his money
= 6 u + 5 u
= 11 u
Amount that Glen had more than Oliver
= 11 u - 9 u
= 2 u
= 2 x 14
= $28
Answer(s): $28