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Math Help - Could you please show me how to solve this...

  1. #1
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    Could you please show me how to solve this...

    Pizza Corner sells medium and large specialty pizzas. A medium Meat Lovers pizza costs $10.95, and a large Meat Lovers pizza costs $14.95. One Saturday a total of 50 Meat Lovers pizzas were sold, and the receipts from the Meat Lovers pizzas were $663.50. How many medium and how many large Meat Lovers pizzas were sold?
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  2. #2
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    Hi

    Quote Originally Posted by camstill View Post
    Pizza Corner sells medium and large specialty pizzas. A medium Meat Lovers pizza costs $10.95, and a large Meat Lovers pizza costs $14.95. One Saturday a total of 50 Meat Lovers pizzas were sold, and the receipts from the Meat Lovers pizzas were $663.50. How many medium and how many large Meat Lovers pizzas were sold?
    Well,
    define x = amount of medium Meat Lovers pizza
    define y = amount of large Meat Lovers pizza

    your profit is

    x*10.95 + y*14.95

    50 pizzas were sold, that means x+y = 50 (1)
    Furthermore someone got 663.50$

    that means

    x*10.95 + y*14.95 = 663.50$ (2)

    you have 2 equations, solve them

    => x = 21, y = 29

    Alright?
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  3. #3
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    I understand the system of equations but am having trouble solving them. Could you show your work? Thanks.
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  4. #4
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    Quote Originally Posted by camstill View Post
    I understand the system of equations but am having trouble solving them. Could you show your work? Thanks.

    x+y = 50 (1) => x = 50 -y

    x*10.95 + y*14.95 = 663.50$ (2)

    You know x => (50 -y)*10.95+y*14.95 =663.50

    547.5-y*10.95+y*14.95 =663.50

    -y*10.95+y*14.95 =663.50-547.5

    4y = 116

    y = 116/4

    y = 29

    and you know x = 50 -y, thats why x = 50 - 29 = 21
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