Perry, Glen, Peter and Billy shared $196. Billy received
25 of the total amount of money received by Perry, Glen and Peter. Perry received
13 of the total amount for Glen and Peter. Glen received
23 as much money as Peter. If Glen gave all his money to Billy, how much did Billy have more than Perry in the end?
Perry |
Glen |
Peter |
Billy |
Total |
5x4 |
2x4 |
7x4 |
1x5 |
3x5 |
|
|
|
2x3 |
3x3 |
|
|
5 u |
6 u |
9 u |
8 u |
28 u |
The total amount that Glen and Peter have is repeated. Make the total amount of Glen and Peter the same. LCM of 5 and 3 is 15.
The total amount that Perry, Glen and Peter have is repeated. Make the total amount of Perry, Glen and Peter the same. LCM of 20 and 5 is 20.
Total amount that Perry, Glen, Peter and Billy shared = 28 u
28 u = 196
1 u = 196 ÷ 28 = 7
|
Perry |
Glen |
Peter |
Billy |
Before |
5 u |
6 u |
9 u |
8 u |
Change |
|
- 6 u |
|
+ 6 u |
After |
5 u |
0 u |
9 u |
14 u |
Amount that Billy had if Glen gave him all his money
= 8 u + 6 u
= 14 u
Amount that Billy had more than Perry
= 14 u - 5 u
= 9 u
= 9 x 7
= $63
Answer(s): $63