Question

A fruit stand has to decide what to charge for their produce. They need \$10$10 for 44 apples and 44 oranges. They also need \$12$12 for 66 apples and 66 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?

Answer 1

Answer: No, we can't find a unique price for an apple and an orange.

Step-by-step explanation:

Since we have given that

Cost of 4 apples and 4 oranges = $10

Cost of 6 apples and 6 oranges = $12

We need to find the unique price for an apple and an orange.

According to question, our equations will be

$4x+4y=\ 10\\\\6x+6y=\ 12$

since it is equation of parallel lines, as

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}\\\\\frac{4}{4}=\frac{6}{6}\neq \frac{10}{12}$

Hence, No, we can't find a unique price for an apple and an orange.