SOLUTION: Peaches were $7 a bushel and apples were $6 a bushel. Harry sold $346 worth and sold 29 more bushels of peaches than apples. How many bushels of each did he sell?

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Question 1202283: Peaches were $7 a bushel and apples were $6 a bushel. Harry sold $346 worth and sold 29 more bushels of peaches than apples. How many bushels of each did he sell?
Found 3 solutions by ikleyn, greenestamps, josgarithmetic:
Answer by ikleyn(52787) About Me  (Show Source):
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Peaches were $7 a bushel and apples were $6 a bushel.
Harry sold $346 worth and sold 29 more bushels of peaches than apples.
How many bushels of each did he sell?
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Let x be the number of bushels of apples.

Then the number of bushels of peaches is (x+29).


Write the total money equation

    7(x+29) + 6x = 346.


Simplify and find x

    7x + 7*29 + 6x = 346

    7x + 6x = 346 - 7*29

       13x  =   143

         x  =   143/13 = 11.


ANSWER.  11 bushels of apples and (11+29) = 40 bushels of peaches.


CHECK  the total revenue  7*40 + 6*11 = 280 + 66 = 346  dollars.  ! correct !

Solved.



Answer by greenestamps(13200) About Me  (Show Source):
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While the problem was probably supposed to be solved using formal algebra, note that you can get good mental exercise by solving the problem informally, using logical reasoning and mental arithmetic.

The 29 "extra" bushels of peaches cost 29($7) = $203.
The remaining $346-$203 = $143 was the cost of equal numbers of bushes of peaches and apples.
The cost of one bushel each of peaches and apples was $13.
$143/$13 = 11, so the purchase after the "extra" bushels of peaches consisted of 11 bushels each of peaches and apples.
So the number of bushels of apples he sold was 11, and the number of bushels of peaches he sold was 11+29 = 40.

ANSWER: 11 bushels of apples and 40 bushels of peaches

CHECK: 11($6)+40($7) = $66+$280 = $346

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
       PRICE            BUSHELS qtn          REVENUE

Peaches  7                m+29               7(m+29)

Apples   6                 m                 6m

TOTAL                                        346

The revenue sum equation is 7%28m%2B29%29%2B6m=346, solve this for m.
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