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Three friends got the prize money with 52,000. The first friend would get three times the amount of the third friend's portion. The third friend would get three times the amount of the second friend's portion. Determine the amount that each friend would receive

User Wryrych
by
7.8k points

2 Answers

6 votes

Answer:

They all got a lot of money

Explanation:

User Dfherr
by
7.8k points
3 votes

36000,4000,12000

Explanation:

Let
x be the share of first friend.

Let
y be the share of second friend.

Let
z be the share of third friend.

Given that the first friend would get three times the amount of the third friend's portion.

So,
x=3z

Given that the third friend would get three times the amount of the second friend's portion.

So,
z=3y

Given that the total share is 52,000


x+y+z=3z+y+3y=9y+y+3y=13y

So,
13y=52000\\y=4000


z=3y=3* 4000=12000


x=3z=3* 12000=36000

User Stephen James
by
8.5k points