Question

Equations!! PLS HELP ASAP!!

Community Gym charges a $70 membership fee and a $50 monthly fee. Workout Gym charges a $170
membership fee and a $40 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?

After___
months the amount paid to both gyms will be $___

Answer 1

Step-by-step explanation: Let

Let

y

be the total fee, and

x

the number of months.

Equation 1:

y

=

50

+

55

x

Equation 2:

y

=

200

+

45

x

Solve the system for

x

and

y

:

50

+

55

x

=

200

+

45

x

10

x

=

150

x

=

15

y

=

200

+

45

(

15

)

y

=

875

∴

The total amount paid to both gyms is equal after

15

months and will be

$

875

.

Hopefully this helps!