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27 April, 14:43

Ms. England is planning a party for students who have met their goal of reading seven books during the most recent nine weeks of school. Using a total of $112, she plans to get pizzas that cost $12 each and drinks that cost $0.50 each. If she purchases four times as many drinks as pizzas, how many of each should she buy? • Show how you know. • Create equations and use substitution and a table to demonstrate the solution.

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  1. 27 April, 16:15
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    Ms. England should buy 8 pizzas and 32 drinks.

    Explanation:

    Let p = the number of pizzas and d = the number of drinks. Each pizza costs $12 so the cost of all of the pizzas is ($12) * p. Each drink costs $0.50, so the cost of all of the drinks is ($0.50) * d. The total cost, then, is:

    Total Cost = Cost of Pizzas + Cost of Drinks

    $112 = ($12) p + (($0.50) * d

    Now you buy 4 times as many drink as pizzas, so:

    Number of Drinks = 4 * (Number of Pizzas)

    d = 4*p

    Now lets' substitute 4p in place of d in the total cost equation and solve for p:

    $112 = ($12) p + ($0.50) * d

    $112 = ($12) p + ($0.50) * (4p) [Substituted 4p in place of d]

    112 = 12p + 2p

    112 = 14p

    Solve for p, the number of pizzas. Once you have p, the number of drinks is d = 4*p.
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