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How Many Cats and Kittens?

Source: 2012 AMC10A Problem #5

February 8, 2012
AMC

Problem Statement

Last year 100100 adult cats, half of whom were female, were brought into the Smallville Animal Shelter. Half of the adult female cats were accompanied by a litter of kittens. The average number of kittens per litter was 44. What was the total number of cats and kittens received by the shelter last year?
<spanclass=latexbold>(A)</span> 150<spanclass=latexbold>(B)</span> 200<spanclass=latexbold>(C)</span> 250<spanclass=latexbold>(D)</span> 300<spanclass=latexbold>(E)</span> 400 <span class='latex-bold'>(A)</span>\ 150 \qquad<span class='latex-bold'>(B)</span>\ 200 \qquad<span class='latex-bold'>(C)</span>\ 250 \qquad<span class='latex-bold'>(D)</span>\ 300 \qquad<span class='latex-bold'>(E)</span>\ 400