Difference between revisions of "2011 AMC 10A Problems/Problem 8"

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Last summer 30% of the birds living on Town Lake were geese, 25% were swans, 10% were herons, and 35% were ducks. What percent of the birds that were not swans were geese?
 
Last summer 30% of the birds living on Town Lake were geese, 25% were swans, 10% were herons, and 35% were ducks. What percent of the birds that were not swans were geese?
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<math> \textbf{(A)}\ 20\qquad\textbf{(B)}\ 30\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 50\qquad\textbf{(E)}\ 60 </math>
  
 
== Solution ==
 
== Solution ==
  
 
75% of the total birds were not swans. Out of that 75%, there was <math>30\% \cdot 75\% = \boxed{40\%}</math> of the birds that were not swans that were geese. (C)
 
75% of the total birds were not swans. Out of that 75%, there was <math>30\% \cdot 75\% = \boxed{40\%}</math> of the birds that were not swans that were geese. (C)

Revision as of 09:48, 11 February 2011

Problem 8

Last summer 30% of the birds living on Town Lake were geese, 25% were swans, 10% were herons, and 35% were ducks. What percent of the birds that were not swans were geese?

$\textbf{(A)}\ 20\qquad\textbf{(B)}\ 30\qquad\textbf{(C)}\ 40\qquad\textbf{(D)}\ 50\qquad\textbf{(E)}\ 60$

Solution

75% of the total birds were not swans. Out of that 75%, there was $30\% \cdot 75\% = \boxed{40\%}$ of the birds that were not swans that were geese. (C)