Vincent, Neave and Harry shared a sum of money. Vincent and Neave received 70% of the total amount of money. Neave and Harry received 50% of the total amount of money. Given that Vincent received $20 more than Harry, how much was the sum of money that was shared by Vincent and Harry?
| Vincent |
Neave |
Harry |
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 Vincent, Neave and Harry shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Vincent received more than Harry
= 5 u - 3 u
= 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Amount that Vincent and Harry shared
= 5 u + 3 u
= 8 u
= 8 x 10
= $80
Answer(s): $80
