contestada

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?

Respuesta :

calculista

Answer:

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

Step-by-step explanation:

Let

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

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

we know that

[tex]4a+6p=192[/tex] ------> equation A

[tex]p=2a[/tex] -----> equation B

Solve the system by substitution

substitute 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]

therefore

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

Answer: a=12, p=24 APEX

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