John, Neave and Nick shared a sum of money. John and Neave received 75% of the total amount of money. Neave and Nick received 40% of the total amount of money. Given that John received $35 more than Nick, how much was the sum of money that was shared by John and Nick?
| John |
Neave |
Nick |
Total |
| 3x5 |
1x5 |
4x5 |
| 3x4 |
2x4 |
5x4 |
| 12 u |
3 u |
5 u |
20 u |
75% =
75100 =
34 40% =
40100 =
25 The total amount of money that John, Neave and Nick shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that John received more than Nick
= 12 u - 5 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Amount that John and Nick shared
= 12 u + 5 u
= 17 u
= 17 x 5
= $85
Answer(s): $85
