Michael, Ian and Lee shared a sum of money. Michael and Ian received 90% of the total amount of money. Ian and Lee received 40% of the total amount of money. Given that Ian received $24 less than Michael, how much was the sum of money that was shared by Ian and Lee?
| Michael |
Ian |
Lee |
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 Michael, Ian and Lee shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Ian received less than Michael
= 6 u - 3 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Amount that Ian and Lee shared
= 3 u + 1 u
= 4 u
= 4 x 8
= $32
Answer(s): $32
