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?
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.