Question #c35bd

1 Answer
Anjali G
Dec 6, 2017

Let #x/y# be the fraction.
Translating the words into equations:

#y=1+2x#

#(x+1)/(y+1)=1/2#

With these two equations with two variables, we can substitute the first equation into the second:
#(x+1)/(1+2x+1)=1/2#

#frac{cancel((x+1))}{2cancel((x+1))}=1/2#

#1/2=1/2#

This means that the set of equations will work for any value of x. For the sake of the answer key, let's choose #x=4#.
Check with the first equation ->#y=9, 5/10=1/2#
The answer key says the answer is 5/9, when it can't be 5/9.

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