Madeline can decorate 250 cookies in 5 hours.
Step-by-step explanation:
Given,
Number of cookies decorated in 2 hours = 100 cookies
Ratio of cookies to time = 100:2
Let,
x be the number of cookies decorated in 5 hours
Ratio of cookies to time = x:5
Using proportion;
Ratio of cookies to time :: Ratio of cookies to time
[tex]100:2::x:5[/tex]
Product of mean = Product of extreme
[tex]2*x=100*5\\2x=500\\[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{500}{2}\\x=250[/tex]
Madeline can decorate 250 cookies in 5 hours.
Keywords: proportion, division
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