Question

Three friends got the prize money worth ​$231,000

.
The first friend would get four times

the amount of the third​ friend's portion. The third friend would get four times

the amount of the second​ friend's portion. Determine the amount that each friend would receive.

Answer 1

Answer: y = $11,000

z = 4($11,000) = $44,000

x = 4($44,000) = $176,000

Explanation:

Answer 2

There are three unknowns in this problem. First, let's assign variables for these unknowns.

Let
x be the amount received by the first friend
y be the amount received by the second friend
z be the amount received by the third friend

Next, we formulate equations for the relationships

x = 4z
z = 4y
x + y + z = $231,000

Solving simultaneously,

4(4y) + y + 4y = $231,000
21y = $231,000
y = $11,000
z = 4($11,000) = $44,000
x = 4($44,000) = $176,000