Ethan, Perry and Sam shared a sum of money. Ethan and Perry received 75% of the total amount of money. Perry and Sam received 40% of the total amount of money. Given that Perry received $171 less than Ethan, how much was the sum of money that was shared by Perry and Sam?
Ethan |
Perry |
Sam |
Total |
3x5 |
1x5 |
4x5 |
3x4 |
2x4 |
5x4 |
12 u |
3 u |
5 u |
20 u |
75% =
75100 =
34 40% =
40100 =
25 The total amount of money that Ethan, Perry and Sam shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Perry received less than Ethan
= 12 u - 3 u
= 9 u
9 u = 171
1 u = 171 ÷ 9 = 19
Amount that Perry and Sam shared
= 3 u + 5 u
= 8 u
= 8 x 19
= $152
Answer(s): $152