A chili recipe calls for 2 pounds of ground pork and 3.5 pounds of ground beef. The cost of ground beef per pound is $0.20 less than twice t

Question

A chili recipe calls for 2 pounds of ground pork and 3.5 pounds of ground beef. The cost of ground beef per pound is $0.20 less than twice the cost of ground pork. If the total cost of meat for the recipe is $15.05, what is the cost per pound of ground pork?

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Kiệt Gia 4 years 2021-07-20T17:22:35+00:00 1 Answers 19 views 0

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  1. bonexptip
    0
    2021-07-20T17:23:57+00:00
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    Answer: \$1.75\ \text{per pound}

    Step-by-step explanation:

    Given

    The recipe calls for 2 Pounds of ground pork and 3.5 pounds of ground beef

    Suppose x is the cost of ground pork

    So, the cost of ground beef is 2x-0.2

    The total cost of meat is \$15.05

    The total cost can also be written as

    \Rightarrow 2\times x+3.5\times (2x-0.2)=15.05\\\Rightarrow 2x+7x-0.7=15.05\\\Rightarrow 9x=15.75\\\Rightarrow x=\frac{15.75}{9}=\$1.75\ \text{per pound}

    So, the cost of ground pork is \$1.75\ \text{per pound}

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