To find the number of movie rentals for which both store's charges are the same, we need to set up an equation and solve for the number of rentals.
Let's denote the number of movie rentals as "x".
For store A, the total charge can be calculated as:
Total charge for store A = Membership fee + (Cost per movie rental * Number of rentals)
Total charge for store A = $25 + ($2 * x)
For store B, the total charge can be calculated as:
Total charge for store B = Membership fee + (Cost per movie rental * Number of rentals)
Total charge for store B = $10 + ($2.50 * x)
To find the number of rentals where both store's charges are the same, we need to set up an equation and solve for "x".
Total charge for store A = Total charge for store B
$25 + ($2 * x) = $10 + ($2.50 * x)
Now, we can solve for "x".
$25 + ($2 * x) = $10 + ($2.50 * x)
$25 - $10 = ($2.50 * x) - ($2 * x)
$15 = $0.50 * x
To isolate "x", we divide both sides of the equation by $0.50:
$15 / $0.50 = x
x = 30
Therefore, for 30 movie rentals, both store A and store B will have the same charges.