MathDB

13

Part of 2004 AMC 10

Problems(2)

Problem: 2004 AMC 10 #13

Source:

2/1/2007
At a party, each man danced with exactly three women and each woman danced with exactly two men. Twelve men attended the party. How many women attended the party? <spanclass=′latex−bold′>(A)</span> 8<spanclass=′latex−bold′>(B)</span> 12<spanclass=′latex−bold′>(C)</span> 16<spanclass=′latex−bold′>(D)</span> 18<spanclass=′latex−bold′>(E)</span> 24 <span class='latex-bold'>(A)</span>\ 8\qquad <span class='latex-bold'>(B)</span>\ 12\qquad <span class='latex-bold'>(C)</span>\ 16\qquad <span class='latex-bold'>(D)</span>\ 18\qquad <span class='latex-bold'>(E)</span>\ 24
AMC
Stack of Coins

Source:

1/15/2009
In the United States, coins have the following thicknesses: penny, 1.55 1.55 mm; nickel, 1.95 1.95 mm; dime, 1.35 1.35 mm; quarter, 1.75 1.75 mm. If a stack of these coins is exactly 14 14 mm high, how many coins are in the stack? <spanclass=′latex−bold′>(A)</span> 7<spanclass=′latex−bold′>(B)</span> 8<spanclass=′latex−bold′>(C)</span> 9<spanclass=′latex−bold′>(D)</span> 10<spanclass=′latex−bold′>(E)</span> 11 <span class='latex-bold'>(A)</span>\ 7\qquad <span class='latex-bold'>(B)</span>\ 8\qquad <span class='latex-bold'>(C)</span>\ 9\qquad <span class='latex-bold'>(D)</span>\ 10\qquad <span class='latex-bold'>(E)</span>\ 11