2 1/4 pounds of beef are needed to serve 12.
Step-by-step explanation:
Recipe serves = 8 people
Quantity of ground beef = [tex]1\frac{1}{2}=\frac{3}{2}=1.5\ pounds[/tex]
Ratio of servings to beef = 8:1.5
People expected to be served = 12
Let,
x be the quantity of beef for 12 people.
Ratio of servings to beef = 12:x
Using proportion;
Ratio of servings to beef :: Ratio of servings to beef
[tex]8:1.5::12:x[/tex]
Product of mean = Product of extreme
[tex]1.5*12=8*x\\18=8x\\8x=18[/tex]
Dividing both sides by 8;
[tex]\frac{8x}{8}=\frac{18}{8}\\x=\frac{9}{4}=2\frac{1}{4}\ pounds[/tex]
2 1/4 pounds of beef are needed to serve 12.
Keywords: ratio, proportion
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