Question

The members of a small town's local arts council are selling raffle tickets. The art council decides that the top three raffle ticket sellers will share a portion of the profits. The second-place seller will receive twice as much as the third-place seller. The first-place seller will receive $20 more than second-place seller. How much will each of the top three sellers receive if the profit portion they will share is $200?

Answer 1

Profit shall be distributed as :

First seller = $92

Second seller = $72

Third seller = $36

Explanation:

Let the first seller be A

Second seller be B

Third seller be C

Let the profit of third price seller C = "x"

Profit of B = 2x

Profit of A = 2x + $20

Total profit received by all of them = $200

$200 = (2x + $20) + (2x) + (x)

$200 = 5x + $20

$180 = 5x

x = $36

Therefore profit for 3rd seller = $36

Profit for second seller = $36
`*` 2 = $72

Profit for first seller = $72 + $20 = $92