Question

It cost $30 to be a member of the music club. A member of the club pays $10 per music lesson. A nonmember pays $25 per music lesson. How many music lessons Must a member and a nonmember take so the cost for each is the same

Answer 1

2 would be the correct answer.

Answer 2

We can solve this by setting up two equations and setting them equal to each other to find out when they equal the same value.

For a member: y= 10m+30
For a non-member: y=25m+30

Now we can set them equal and solve.
10m+30=25m+30
25m+10m=30-30
35m=0
m=0

This means that the only place the two lines intersect is at the point 0. So there is no other solution that makes the two equations have the same value. There is no number of music lessons that a member and a nonmember can take so that the cost for each is the same.