Neave, Glen and Ivan shared a sum of money. Neave and Glen received 70% of the total amount of money. Glen and Ivan received 50% of the total amount of money. Given that Neave received $30 more than Ivan, how much was the sum of money that was shared by Neave and Ivan?
| Neave |
Glen |
Ivan |
Total |
| 7x1 |
3x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
2 u |
3 u |
10 u |
70% =
70100 =
710 50% =
50100 =
12 The total amount of money that Neave, Glen and Ivan shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Neave received more than Ivan
= 5 u - 3 u
= 2 u
2 u = 30
1 u = 30 ÷ 2 = 15
Amount that Neave and Ivan shared
= 5 u + 3 u
= 8 u
= 8 x 15
= $120
Answer(s): $120
