Showplace Lanes charges $4.50 per game as well as $3 for shoe rental . Westgate Bowling charges $4 per game an

Question

Showplace Lanes charges
$4.50 per game as well as
$3 for shoe rental
.
Westgate Bowling charges
$4 per game and $4 for
shoe rental. How many
games must be bowled
before the price is the
same at both bowling lanes?
What is the cost?

in progress 0
Vodka 4 years 2021-08-28T00:44:51+00:00 1 Answers 12 views 0

Answers ( )

    0
    2021-08-28T00:46:08+00:00

    Answer:

    2 game, $12

    Step-by-step explanation:

    Given data

    Showplace Lanes charges

    $4.50 per game as well as

    $3 for shoe rental

    Let the number of games be x

    let the total charge for x games be y

    y= 4.5x+3———–1

    Westgate Bowling charges

    $4 per game and $4 for

    shoe rental

    Let the number of games be x

    let the total charge for x games be y

    y= 4x+4———–2

    Equate 1 and 2

    4.5x+3= 4x+4

    collect like terms

    4.5x-4x= 4-3

    0.5x= 1

    divide both sides by 0.5

    x= 1/0.5

    x= 2 games

    put x= 2 in equation 1 or 2

    y= 4x+4———–2

    y= 4*2+4

    y= 8+4

    y= $12

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