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29 December, 00:12

Three pizzas and four sandwiches cost $34 three pizzas and seven sandwiches cost $41.50 write a system of equation to find the cost of one pizza

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  1. 29 December, 00:20
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    The cost of one pizza is $8

    Step-by-step explanation:

    From the question;

    3 pizzas + 4 sandwiches = $34 3 pizzas + 7 sandwiches = $41.50

    We are required to determine the cost of one Pizza

    Assuming the cost of one pizza is x and the cost of one sandwich is y

    Then we get the equations;

    3x + 4y = $34

    3x + 7y = $41.50

    We can solve the equations simultaneously;

    Subtracting the two equations;

    3x + 4y = $34

    3x + 7y = $41.50

    ...

    -3y = - $7.5

    y = $2.5

    To get x;

    3x = $34 - 4 ($2.5)

    3x = $24

    x = $8

    Therefore, the cost of one pizza is $8
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