Harry, Luis and Pierre shared a sum of money. Harry and Luis received 75% of the total amount of money. Luis and Pierre received 40% of the total amount of money. Given that Luis received $135 less than Harry, how much was the sum of money that was shared by Luis and Pierre?
| Harry |
Luis |
Pierre |
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 Harry, Luis and Pierre shared is repeated. Make the total amount of money the same. LCM of 4 and 5 is 20.
Amount that Luis received less than Harry
= 12 u - 3 u
= 9 u
9 u = 135
1 u = 135 ÷ 9 = 15
Amount that Luis and Pierre shared
= 3 u + 5 u
= 8 u
= 8 x 15
= $120
Answer(s): $120
