Harry, Pierre and Ethan shared a sum of money. Harry and Pierre received 70% of the total amount of money. Pierre and Ethan received 50% of the total amount of money. Given that Harry received $12 more than Ethan, how much was the sum of money that was shared by Harry and Ethan?
| Harry |
Pierre |
Ethan |
Total |
| 7x1 |
3x1 |
10x1 |
| 1x5 |
1x5 |
2x5 |
| 5 u |
2 u |
3 u |
10 u |
70% =
70100 =
710 50% =
50100 =
12 The total amount of money that Harry, Pierre and Ethan shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Harry received more than Ethan
= 5 u - 3 u
= 2 u
2 u = 12
1 u = 12 ÷ 2 = 6
Amount that Harry and Ethan shared
= 5 u + 3 u
= 8 u
= 8 x 6
= $48
Answer(s): $48
