Use a Proportion to Solve the Problem $3 \mathrm{rd}$ , 2nd, and 1st Place Winners As

Use a proportion to solve the problem.
-The prize money in a competition will be divided between the $3 \mathrm{rd}$ , 2nd, and 1st place winners as $1: 2: 4$ . That is, the second place winner will receive 2 times as much as the third place winner and the first place winner will receive 4 times as much as the third place winner. If the total amount of prize money is $\$ 3500$ , how should the money be divided among the three winners?

A) 3rd place: $\$ 500,2$ nd place: $\$ 1000$ , 1st place: $\$ 2000$
B) 3rd place: $\$ 778$ , 2nd place: $\$ 1167,1$ st place: $\$ 1556$
C) 3rd place: $\$ 438$ , 2nd place: $\$ 875$ , 1st place: $\$ 1750$
D) 3rd place: $\$ 583$ , 2nd place: $\$ 1167,1$ st place: $\$ 2333$