Ryan, Bryan and Vincent shared a sum of money. Ryan and Bryan received 80% of the total amount of money. Bryan and Vincent received 50% of the total amount of money. Given that Ryan received $45 more than Vincent, how much was the sum of money that was shared by Ryan and Vincent?
| Ryan |
Bryan |
Vincent |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Ryan, Bryan and Vincent shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Ryan received more than Vincent
= 5 u - 2 u
= 3 u
3 u = 45
1 u = 45 ÷ 3 = 15
Amount that Ryan and Vincent shared
= 5 u + 2 u
= 7 u
= 7 x 15
= $105
Answer(s): $105
