Question

The Tucker Gym charges a one time fee of $50 plus a $25 monthly membership

charge.
THe NoFo Health Club charges a one time fee of $80 plus a $15 monthly
membership fee.
Represent the situation as a system of two equations in two variables.
Solve the equation algebraically using substitution or elimination.

Answer 1

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

x = 3

y = 125

Explanation:

The tucker Gym charges a one time fee of $50 plus a $25 monthly membership charge.

The NoFo health club charges a one time fee of $80 plus a $15 monthly membership fee.

Let

number of month = x

total cost = y

Tucker Gym

y = 50 + 25x.............(i)

NoFo Gym

y = 80 + 15x.............(ii)

combining the equation

y = 50 + 25x.............(i)

y = 80 + 15x.............(ii)

y - 50 = 25x

y/25 - 2 = x

insert x in equation (ii)

y = 80 + 15(y/25 - 2)

y = 80 + 3y/5 - 30

y = 50 + 3y/5

y - 3y/5 = 50

5y - 3y/5 = 50

2y/5 = 50

cross multiply

2y = 250

y = 250/2

y = 125

insert y in equation (i)

125 = 50 + 25x

125 - 50 = 25x

75 = 25x

x = 75/25

x = 3