MathDB

5

Part of 2012 AMC 10

Problems(2)

How Many Cats and Kittens?

Source: 2012 AMC10A Problem #5

2/8/2012
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=′latex−bold′>(A)</span> 150<spanclass=′latex−bold′>(B)</span> 200<spanclass=′latex−bold′>(C)</span> 250<spanclass=′latex−bold′>(D)</span> 300<spanclass=′latex−bold′>(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
AMC
Anna's Dinner

Source: 2012 AMC10B Problem #5

2/23/2012
Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on meals is 10%10\%. She leaves a 15%15\% tip on the prices of her meal before the sales tax is added, and the tax is calculated on the pre-tip amount. She spends a total of 27.5027.50 for dinner. What is the cost of here dinner without tax or tip?
<spanclass=′latex−bold′>(A)</span> $18<spanclass=′latex−bold′>(B)</span> $20<spanclass=′latex−bold′>(C)</span> $21<spanclass=′latex−bold′>(D)</span> $22<spanclass=′latex−bold′>(E)</span> $24 <span class='latex-bold'>(A)</span>\ \$18\qquad<span class='latex-bold'>(B)</span>\ \$20\qquad<span class='latex-bold'>(C)</span>\ \$21\qquad<span class='latex-bold'>(D)</span>\ \$22\qquad<span class='latex-bold'>(E)</span>\ \$24
AMC