SOLUTION: A man bought 18 fruits. Some cost $1.50 each and the remainder cost $2.00 each. He spent a cost of $32.50. How many of each fruit did he buy?

Question 1034902: A man bought 18 fruits. Some cost $1.50 each and the remainder cost $2.00 each. He spent a cost of $32.50. How many of each fruit did he buy?
Answer by ikleyn(52931) (Show Source): You can put this solution on YOUR website!
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A man bought 18 fruits. Some cost $1.50 each and the remainder cost $2.00 each. He spent a cost of $32.50. How many of each fruit did he buy?
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Let x = # of fruits that cost $1.50 each.
Then the number of fruits that cost $2.00 is 18-x.

x fruits by $1.50 each cost 1.50*x dollars.
(18-x) fruits by $2.00 each cost 2.00*(18-x).

So, you have this equation

1.5x + 2*(18-x) = 32.50.

Simplify and solve it:

1.5x + 36 - 2x = 32.50,

-0.5x = 32.50 - 36,

-0.5x = - 3.5,

x =  = 7.

Answer. 7 fruits by $1.50 and (18-7) = 11 fruits by $2.00.

Check.  1.50*7 + 2.00*11 = 10.50 + 22.00 = 32.50.   Correct!

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