Neave, Howard and Ian shared a sum of money. Neave and Howard received 75% of the total amount of money. Howard and Ian received 40% of the total amount of money. Given that Howard received $99 less than Neave, how much was the sum of money that was shared by Howard and Ian?
| Neave |
Howard |
Ian |
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 Neave, Howard and Ian shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Howard received less than Neave
= 12 u - 3 u
= 9 u
9 u = 99
1 u = 99 ÷ 9 = 11
Amount that Howard and Ian shared
= 3 u + 5 u
= 8 u
= 8 x 11
= $88
Answer(s): $88
