Question

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 many
peach buckets as apple buckets. Using the substitution method, how many
apples and peaches did the farm stand sell?

Answer 1

Answer: a=12, p=24 APEX

Answer 2

The number of buckets of apples sold was 12 and the number of buckets of peaches sold was 24

Explanation:

Let

a -----> number of buckets of apples sold

p -----> number of buckets of peaches sold

we know that

`4a+6p=192` ------> equation A

`p=2a` -----> equation B

Solve the system by substitution

substitute equation B in equation A

`4a+6(2a)=192`

solve for a

`4a+12a=192`

`16a=192`

`a=12`

Find the value of p

`p=2(12)=24`

therefore

The number of buckets of apples sold was 12 and the number of buckets of peaches sold was 24