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IgorLugansk [536]

2 years ago

15

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. Fo

r how many movie rentals will the cost be the same at both book clubs? What does that cost?

1 answer:

Mrrafil [7]2 years ago

5 0

Given:

Book club A charges $20 for membership and $2 per book rental.

Book club B charges $10 for membership and $3 per book rental.

To find:

The number of books for which the cost be the same at both book clubs.

Solution:

Let x be the number of books.

Book club A charges $20 for membership and $2 per book rental. So, the total cost is

$C_1=20+2x$ ...(i)

Book club B charges $10 for membership and $3 per book rental. So, the total cost is

$C_2=10+3x$ ...(ii)

Equating (i) and (ii), we get

$10+3x=20+2x$

$3x-2x=20-10$

$x=10$

The total cost is

$C_1=20+2(10)$

$C_1=20+20$

$C_1=40$

Therefore, the total cost at both book clubs are same for 10 rental books and that cost is $40.

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