Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. For how many m

Question

Book club A charges $20 for membership and $2 per book rental. Book club B charges $10 for membership and $3 per book rental. For how many movie rentals will the cost be the same at both book clubs? What does that cost?

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Khải Quang 2 months 2021-07-30T07:38:58+00:00 1 Answers 2 views 0

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    2021-07-30T07:40:11+00:00

    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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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )