Henry, Billy and Ethan shared a sum of money. Henry and Billy received 90% of the total amount of money. Billy and Ethan received 40% of the total amount of money. Given that Billy received $42 less than Henry, how much was the sum of money that was shared by Billy and Ethan?
| Henry |
Billy |
Ethan |
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 Henry, Billy and Ethan shared is repeated. Make the total amount of money the same. LCM of 10 and 5 is 10.
Amount that Billy received less than Henry
= 6 u - 3 u
= 3 u
3 u = 42
1 u = 42 ÷ 3 = 14
Amount that Billy and Ethan shared
= 3 u + 1 u
= 4 u
= 4 x 14
= $56
Answer(s): $56
