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.

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

`(a_1)/(a_2)=(b_1)/(b_2)\\eq (c_1)/(c_2)\\\\(4)/(4)=(6)/(6)\\eq (10)/(12)`

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