MathDB

7

Part of 2012 AMC 10

Problems(2)

A Bag of Marbles

Source: 2012 AMC10A Problem #7

2/8/2012
In a bag of marbles, 35\frac{3}{5} of the marbles are blue and the rest are red. If the number of red marbles is doubled and the number of blue marbles stays the same, what fraction of the marbles will be red?
<spanclass=′latex−bold′>(A)</span> 25<spanclass=′latex−bold′>(B)</span> 37<spanclass=′latex−bold′>(C)</span> 47<spanclass=′latex−bold′>(D)</span> 35<spanclass=′latex−bold′>(E)</span> 45 <span class='latex-bold'>(A)</span>\ \dfrac{2}{5} \qquad<span class='latex-bold'>(B)</span>\ \dfrac{3}{7} \qquad<span class='latex-bold'>(C)</span>\ \dfrac{4}{7} \qquad<span class='latex-bold'>(D)</span>\ \dfrac{3}{5} \qquad<span class='latex-bold'>(E)</span>\ \dfrac{4}{5}
AMCAMC 12AMC 12 A
Chipmunk, Squirrel, Acorn

Source: 2012 AMC 12 #3

2/23/2012
For a science project, Sammy observed a chipmunk and a squirrel stashing acorns in holes. The chipmunk hid 33 acorns in each of the holes it dug. The squirrel hid 44 acorns in each of the holes it dug. They each hid the same number of acorns, although the squirrel needed 44 fewer holes. How many acorns did the chipmunk hide?
<spanclass=′latex−bold′>(A)</span> 30<spanclass=′latex−bold′>(B)</span> 36<spanclass=′latex−bold′>(C)</span> 42<spanclass=′latex−bold′>(D)</span> 48<spanclass=′latex−bold′>(E)</span> 54{{ <span class='latex-bold'>(A)</span>\ 30\qquad<span class='latex-bold'>(B)</span>\ 36\qquad<span class='latex-bold'>(C)</span>\ 42\qquad<span class='latex-bold'>(D)</span>\ 48}\qquad<span class='latex-bold'>(E)</span>\ 54}
AMC