Tom, Valen and Elijah shared a sum of money. Tom and Valen received 70% of the total amount of money. Valen and Elijah received 50% of the total amount of money. Given that Tom received $32 more than Elijah, how much was the sum of money that was shared by Tom and Elijah?
| Tom |
Valen |
Elijah |
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 Tom, Valen and Elijah shared is repeated. Make the total amount of money the same. LCM of 10 and 2 is 10.
Amount that Tom received more than Elijah
= 5 u - 3 u
= 2 u
2 u = 32
1 u = 32 ÷ 2 = 16
Amount that Tom and Elijah shared
= 5 u + 3 u
= 8 u
= 8 x 16
= $128
Answer(s): $128
