Question

Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?

Answer 1

x + 5 
there is one solution

Answer 2

Answer:

(x + 5) + 5 = (x + 5) + 5

Step-by-step explanation:

A. x + 5 = (5 − x) − 5, which has one solution

B.  x + 5 = (x + 5) − 5, which has infinitely many solutions

C.  x + 5 = (x + 5) − 5, which has no solution

D.  x + 5 = (5 − x) − 5, which has infinitely many solutions

E.  (x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions

So, out of the answer choices given (I'm also a Plato user)... You have to narrow down which ones could even possibly be true based on is the answer itself is a true statement.

B actually has no solution. D actually has one solution.

This leaves A, C, and E. We also need to know that there HAS to be an actual age for this person, so it has to have a solution.

We are now left with A and E. E is the only one that makes sense because the problem doesn't lead us to anything specific enough to set an actual age for either of the girls in the problem.