Question

Community Gym charges a $50 membership fee and a $70 monthly fee. Workout Gym charges a $190

membership fee and a $60 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

14 month

Explanation:

Lets create equations for these two gyms. I believe this is an algebra 1 problem.

Community Gym: y=70x+50

Workout Gym: y=60x+190

Because both gyms are equal to y, we can set them together and solve for x.

70x+50=60x+190

10x=140

x=14

You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months

Therefore, after 14 months you will have paid the same amount for both gyms.

Answer 2

x = 14 months, $1030

Explanation:

The expressions are,

→ 70x + 50

→ 60x + 190

Forming the equation,

→ 70x + 50 = 60x + 190

Now required value of x will be,

→ 70x + 50 = 60x + 190

→ 70x - 60x = 190 - 50

→ 10x = 140

→ x = 140/10

→ [ x = 14 months]

The amount of money will be,

→ 70(14) + 50 = 60(14) + 190

→ 980 + 50 = 840 + 190

→ $1030 = $1030

Hence, it will take 14 months.