Carl, Ian and Gabriel shared a sum of money. Carl and Ian received 70% of the total amount of money. Ian and Gabriel received 50% of the total amount of money. Given that Ian received $12 less than Carl, how much was the sum of money that was shared by Ian and Gabriel?
| Carl |
Ian |
Gabriel |
Total |
| 7x1 |
3x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
2 u |
3 u |
10 u |
70% =
70100 =
710 50% =
50100 =
12 The total amount of money that Carl, Ian and Gabriel shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Ian received less than Carl
= 5 u - 2 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Amount that Ian and Gabriel shared
= 2 u + 3 u
= 5 u
= 5 x 4
= $20
Answer(s): $20
