Ivan, Simon and George shared a sum of money. Ivan and Simon received 75% of the total amount of money. Simon and George received 40% of the total amount of money. Given that Simon received $171 less than Ivan, how much was the sum of money that was shared by Simon and George?
| Ivan |
Simon |
George |
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 Ivan, Simon and George shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Simon received less than Ivan
= 12 u - 3 u
= 9 u
9 u = 171
1 u = 171 ÷ 9 = 19
Amount that Simon and George shared
= 3 u + 5 u
= 8 u
= 8 x 19
= $152
Answer(s): $152
