Family Video charges $10 for a monthly membership and $2.50 per movie. Babe’s Movies charges a $12 membership and $2

Question

Family Video charges $10 for
a monthly membership and
$2.50 per movie. Babe’s
Movies charges a $12
membership and $2 per
movie. How many movies
must be rented before the
price is the same at both
stores? What is the cost?

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Nguyệt Ánh 3 years 2021-08-28T00:47:58+00:00 1 Answers 1 views 0

Answers ( )

  1. Farah
    0
    2021-08-28T00:49:50+00:00
    Reply

    Answer:

    4 movies, $20

    Step-by-step explanation:

    Given data

    Family Video

    charges $10 for a monthly membership and

    $2.50 per movie

    let the number of movies be x

    and the charge for x movies be y

    y= 10+2.5x———-1

    Babe’s  Movies

    charges a $12

    membership and $2 per

    movie.

    let the number of movies be x

    and the charge for x movies be y

    y= 12+2x———-2

    equate 1 and 2

    10+2.5x= 12+2x

    collect like terms

    12-10= 2.5x-2x

    2= 0.5x

    x= 2/0.5

    x= 4 movies

    put x= 4 in equation 1 or 2

    y= 12+2x———-2

    y= 12+2*4

    y= 12+8

    y= $20

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