Paul, Carl and Glen shared a sum of money. Paul and Carl received 80% of the total amount of money. Carl and Glen received 50% of the total amount of money. Given that Carl received $16 less than Paul, how much was the sum of money that was shared by Carl and Glen?
| Paul |
Carl |
Glen |
Total |
| 4x2 |
1x2 |
5x2 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
3 u |
2 u |
10 u |
80% =
80100 =
45 50% =
50100 =
12 The total amount of money that Paul, Carl and Glen shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Carl received less than Paul
= 5 u - 3 u
= 2 u
2 u = 16
1 u = 16 ÷ 2 = 8
Amount that Carl and Glen shared
= 3 u + 2 u
= 5 u
= 5 x 8
= $40
Answer(s): $40
