Ivan, Liam and Seth shared a sum of money. Ivan and Liam received 90% of the total amount of money. Liam and Seth received 25% of the total amount of money. Given that Ivan received $195 more than Seth, how much was the sum of money that was shared by Ivan and Seth?
| Ivan |
Liam |
Seth |
Total |
| 9x2 |
1x2 |
10x2 |
| 3x5 |
1x5 |
4x5 |
| 15 u |
3 u |
2 u |
20 u |
90% =
90100 =
910 25% =
25100 =
14 The total amount of money that Ivan, Liam and Seth shared is repeated. Make the total amount of money the same. LCM of 10 and 4 is 20.
Amount that Ivan received more than Seth
= 15 u - 2 u
= 13 u
13 u = 195
1 u = 195 ÷ 13 = 15
Amount that Ivan and Seth shared
= 15 u + 2 u
= 17 u
= 17 x 15
= $255
Answer(s): $255
