SOLUTION: set up and solve: There are 24 pieces of fruit in a basket. There are twice as many apples as pears. There were four fewer oranges than pears. How many of each fruit were in th

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Question 72956: set up and solve: There are 24 pieces of fruit in a basket. There are twice as many apples as pears. There were four fewer oranges than pears. How many of each fruit were in the basket?
Answer by funmath(2933) About Me  (Show Source):
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set up and solve: There are 24 pieces of fruit in a basket. There are twice as many apples as pears. There were four fewer oranges than pears. How many of each fruit were in the basket?
Let pears be: x
Then apples are:2x
Then oranges are: x-4
The total is: 24
pears+apples+oranges=total
Problem to solve is:
(x)+(2x)+(x-4)=24
x+2x+x-4=24
4x-4=24
4x-4+4=24+4
4x=28
4x/4=28/4
x=7
Pears: x=7
Apples: 2x=2(7)=14
Oranges: x-4=7-4=3
:
Sanity check, if you add all the fruit together, do you get 24?
7+14+3=24 Yes!!!!
Happy Calculating!!!!