Ivan, Cole and Ahmad shared a sum of money. Ivan and Cole received 90% of the total amount of money. Cole and Ahmad received 40% of the total amount of money. Given that Ivan received $95 more than Ahmad, how much was the sum of money that was shared by Ivan and Ahmad?
| Ivan |
Cole |
Ahmad |
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 Ivan, Cole and Ahmad shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Ivan received more than Ahmad
= 6 u - 1 u
= 5 u
5 u = 95
1 u = 95 ÷ 5 = 19
Amount that Ivan and Ahmad shared
= 6 u + 1 u
= 7 u
= 7 x 19
= $133
Answer(s): $133
