Dylan, Ken and Sean shared a sum of money. Dylan and Ken received 80% of the total amount of money. Ken and Sean received 50% of the total amount of money. Given that Ken received $38 less than Dylan, how much was the sum of money that was shared by Ken and Sean?
| Dylan |
Ken |
Sean |
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 Dylan, Ken and Sean shared is repeated. Make the total amount of money the same. LCM of 5 and 2 is 10.
Amount that Ken received less than Dylan
= 5 u - 3 u
= 2 u
2 u = 38
1 u = 38 ÷ 2 = 19
Amount that Ken and Sean shared
= 3 u + 2 u
= 5 u
= 5 x 19
= $95
Answer(s): $95
