Question

Karly is choosing between two health clubs. Yoga Studio A charges a membership fee of $22.00 and $24.50 per month. Yoga Studio B charges a membership fee of $47.00 and $18.25 per month. At how many months will they cost the same? *

Answer 1

Answer:

4 months

Step-by-step explanation:

Given

Studio A

$Membership = \ 22.00$

$Monthly = \ 24.50$

Studio B

$Membership = \ 47.00$

$Monthly = \ 18.25$

Required

Determine when the cost will be the same

For both, we have the total cost to be:

$Cost = Membership + Monthly\ Cost * m$

Where m represents the number of month

For Studio A:

$Cost = 22 + 24.5 * m$

For Studio B:

$Cost = 47 + 18.25 * m$

Equate both expressions to get the required month

$47 + 18.25 * m = 22 + 24.5 * m$

$47 + 18.25 m = 22 + 24.5m$

Collect Like Terms

$47 - 22 = 24.5m - 18.25 m$

$25= 6.25m$

Reorder

$6.25m = 25$

Solve for m

$m = 25/6.25$

$m = 4$

Hence, it'll take 4 months