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tatuchka [14]
3 years ago
12

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 \$1

5$15 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?
Mathematics
1 answer:
KatRina [158]3 years ago
4 0

Answer:

<em>We can't find a unique price for an apple and an orange.</em>

Step-by-step explanation:

Suppose, the price of an apple is x and the price of an orange is y

They need $10 for 4 apples and 4 oranges. So, the first equation will be.......

4x+4y=10 ........................................(1)

They also need $15 for 6 apples and 6 oranges. So, the second equation will be........

6x+6y= 15 ........................................(2)

Dividing equation (1) by 2 on both sides :  2x+2y= 5

Dividing equation (2) by 3 on both sides :  2x+2y=5

So, we can see that both equation (1) and (2) are actually same. That means, we will not get any unique solution for x and y here. Both x and y have <u>"infinitely many solutions"</u>.

Thus, we can't find a unique price for an apple and an orange.

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