Difference in rate

Question

A gym membership two personal training sessions cost $125 while gym membership with five personal training sessions cost $260 what is the rate for personal training sessions.

Answer 1

first you want to find the difference of the two numbers

 

260-125 = $135

 

with that $135, you can guy an extra 3 personal training sessions. (difference in sessions from first offer to second offer)

 

divide 135/3 = $45.

 

each personal training session is worth $45 which also would make the gym membership cost $35. 

Answer 2

m+2t=$125

m+5t=$260, where m=cost of membership and t=cost of training session

subtract the first equation from the second

3t=$135

t=$135/3

t=$45 is the cost per training session