Ask Question
7 February, 17:12

A fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange. They also plan to charge $14 for 2 apples and 2 oranges. We put this information into a system of linear equations. Can we find a unique price for an apple and an orange?

+5
Answers (2)
  1. 7 February, 18:35
    0
    No, we cannot.

    Step-by-step explanation:

    Let a represent the number of apples and r represent the number of oranges.

    The first equation would then be

    1a + 1r = 5.30

    The second equation would be

    2a + 2r = 14

    We can see that the coefficients in the second equation are double those in the first equation. However, if we multiply the first equation by 2, we get

    2 (1a + 1r = 5.30) → 2a + 2r = 10.60

    The constant at the end of the equation is not 14, but the coefficients of the variables are the same. This means this describes a line parallel to this line; this means they will not intersect and thus there is no solution to this system.
  2. 7 February, 20:25
    0
    can not find a unique price for an apple and an orange.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “A fruit stand has to decide what to charge for their produce. They decide to charge $5.30 for 1 apple and 1 orange. They also plan to ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers