Neave, Glen, Daniel and Fred shared $576. Fred received
35 of the total amount of money received by Neave, Glen and Daniel. Neave received
13 of the total amount for Glen and Daniel. Glen received
23 as much money as Daniel. If Glen gave all his money to Fred, how much did Fred have more than Neave in the end?
Neave |
Glen |
Daniel |
Fred |
Total |
5x4 |
3x4 |
8x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
12 u |
32 u |
The total amount that Glen and Daniel have is repeated. Make the total amount of Glen and Daniel the same. LCM of 5 and 3 is 15.
The total amount that Neave, Glen and Daniel have is repeated. Make the total amount of Neave, Glen and Daniel the same. LCM of 20 and 5 is 20.
Total amount that Neave, Glen, Daniel and Fred shared = 32 u
32 u = 576
1 u = 576 ÷ 32 = 18
|
Neave |
Glen |
Daniel |
Fred |
Before |
5 u |
6 u |
9 u |
12 u |
Change |
|
- 6 u |
|
+ 6 u |
After |
5 u |
0 u |
9 u |
18 u |
Amount that Fred had if Glen gave him all his money
= 12 u + 6 u
= 18 u
Amount that Fred had more than Neave
= 18 u - 5 u
= 13 u
= 13 x 18
= $234
Answer(s): $234