klindezIanKarream
Answered

Community gym charges a $50 membership fee and a $55 monthly fee. Workout Gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will, the amount be? what will the amount be

Verified Answer :

mikaykayishere

$50 + $55x 
x is the months that the member attends 
$200 + $45x 
We are looking for when the amount of money will be the same, so we'll set both equations equal to each other to find for x.
$50 + $55x = $200 + $45x 
        -$45x                -$45x
Isolate the variable
$50 + $10x= $200 
-$50              -$50
Subtract to get x to one side
$10x= $150
÷10      ÷10
Divide by ten
x= 15 
So it will take 15 months for both gyms to have the same amount of money paid.

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