A farm stand sells apples, a, for $4 a bucket, and peaches, p, for $6 a bucket.The stand earned $192 revenue last month. The stand sold twice as manypeach buckets as apple buckets. Using the substitution method, how manyapples and peaches did the farm stand sell?
Accepted Solution
A:
Answer:The number of buckets of apples sold was 12 and the number of buckets of peaches sold was 24Step-by-step explanation:Leta -----> number of buckets of apples soldp -----> number of buckets of peaches soldwe know that[tex]4a+6p=192[/tex] ------> equation A[tex]p=2a[/tex] -----> equation BSolve the system by substitutionsubstitute equation B in equation A[tex]4a+6(2a)=192[/tex] solve for a[tex]4a+12a=192[/tex] [tex]16a=192[/tex] [tex]a=12[/tex] Find the value of p[tex]p=2(12)=24[/tex]thereforeThe number of buckets of apples sold was 12 and the number of buckets of peaches sold was 24