Ian, Jeremy and Peter shared a sum of money. Ian and Jeremy received 90% of the total amount of money. Jeremy and Peter received 50% of the total amount of money. Given that Ian received $76 more than Peter, how much was the sum of money that was shared by Ian and Peter?
| Ian |
Jeremy |
Peter |
Total |
| 9x1 |
1x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
4 u |
1 u |
10 u |
90% =
90100 =
910 50% =
50100 =
12 The total amount of money that Ian, Jeremy and Peter shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Ian received more than Peter
= 5 u - 1 u
= 4 u
4 u = 76
1 u = 76 ÷ 4 = 19
Amount that Ian and Peter shared
= 5 u + 1 u
= 6 u
= 6 x 19
= $114
Answer(s): $114
