A restaurant sells slices for $2 and calzones for $3. On Monday, a total of 54 slices and calzones were sold, and the cashier collected a to

Question

A restaurant sells slices for $2 and calzones for $3. On Monday, a total of 54 slices and calzones were sold, and the cashier collected a total of $120 from sales of slices and calzones. Let x represent the number of slices and y represent the number of calzones. Which system of equations represents the situation?

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Melody 2 weeks 2021-09-13T11:10:06+00:00 1 Answer 0

Answers ( )

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    2021-09-13T11:11:36+00:00

    Answer:

    The system of equations is:

    x  +  y  =  54

    2*x  +  3*y  =  120

    And the solution is   x  =  42     y  =  12

    Step-by-step explanation:

    x number of slices and

    y number of calzones

    On Monday they collected 120 $

    Then    2*x  + 3* y  = 120

    And the total of 54 slices and calzones were sold, then

    x  +  y  =  54

    The system is:

    x  +  y  =  54

    2*x  +  3*y  =  120

    Solving for x and y

    y  =  54 – x

    2*x  +  3* ( 54  –  x  )  = 120

    2*x  +  162  –  3*x   =  120     ⇒    – x  =  – 42

    x  =  42

    And  

    y =  54  –  42   ⇒  y  =  12

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