Liam, Ryan and Howard shared a sum of money. Liam and Ryan received 90% of the total amount of money. Ryan and Howard received 40% of the total amount of money. Given that Liam received $70 more than Howard, how much was the sum of money that was shared by Liam and Howard?
| Liam |
Ryan |
Howard |
Total |
| 9x1 |
1x1 |
10x1 |
| 3x2 |
2x2 |
5x2 |
| 6 u |
3 u |
1 u |
10 u |
90% =
90100 =
910 40% =
40100 =
25 The total amount of money that Liam, Ryan and Howard shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Liam received more than Howard
= 6 u - 1 u
= 5 u
5 u = 70
1 u = 70 ÷ 5 = 14
Amount that Liam and Howard shared
= 6 u + 1 u
= 7 u
= 7 x 14
= $98
Answer(s): $98
