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A farm stand sells apples, a, for $4 a bucket, peaches, p, for $6 a bucket, and strawberries, s, for $9 a bucket. The stand earned $258 revenue last month. The stand sold half as many strawberry buckets as peach buckets, and 8 fewer apple buckets than peach buckets. Using the substitution method, how many apples, peaches, and strawberries did the farm stand sell?

 Apr 3, 2020
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Number of apple buckets = a.

Amount of money earned by selling apple buckets = 4a.

Number of peach buckets = p.

Amount of money earned by selling peach buckets = 6p.

Number of strawberry buckets = s.

Amount of money earned by selling strawberry buckets = 9s.

 

4a + 6p + 9s  =  258.00

 

Half as many strawberry buckets as peach buckets:  s = ½p

8 fewer apple buckets than peach buckets:  a = p - 8

 

Substitution:  4(p - 8) + 6p + 9(½p)  =  258.00

 

Solve for p, and then find s and a.

 Apr 3, 2020

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