Three friends got the prize money worth $231,000

Mathematics

2 answers:

Semmy [17]3 years ago

6 0

Answer: y = $11,000

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

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

Step-by-step explanation:

Degger [83]3 years ago

5 0

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

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