Thread: An acceptable answer for a question that relates to simultaneous equations?

I recently happened upon a problem. I have produced a solution, however, I am not sure whether it is acceptable or not. Here is the problem:

apples weigh the same as bananas. bananas weigh the same as cherries. How many cherries weigh the same as apples?

I believe the solution to be apples cherries. The problem is that I am not sure whether it is acceptable to have on both sides of the equation. I have asked a few individuals and opinions vary. Is the solution acceptable?

Thank you. All help on this problem is appreciated.

Originally Posted by JRichardson1729

I believe the solution to be apples cherries.

If A = AbC / aB
then aB = AbC / A
so aB = bC

I'll leave it at that, since the problem makes no sense to me...

Originally Posted by Wilmer

If A = AbC / aB
then aB = AbC / A
so aB = bC

I'll leave it at that, since the problem makes no sense to me...

Unfortunately, the question asks how many cherries weigh the same as apples, so I think that it is necessry to have an A somewhere in the solution.

This is my method:

Posit that the weights of an apple, banana and cherry are respectively.











I'm relatively sure that you need the last step, or at least something like it, but I am not sure about how to only get on one side (with i.e. the weight of an apple).

Bump.

I think it's good.

If you remove the A on both sides, you'll get the number of cheries that will weigh the same as one apple. So, your solution is good. At least, that's what I think.