Difference between revisions of "2010 AMC 12B Problems"
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== Problem 3 == | == Problem 3 == | ||
− | A ticket to a school play cost <math>x</math> dollars, where <math>x</math> is a whole number. A group of 9<sup>th</sup> graders buys tickets costing a total of <math> | + | A ticket to a school play cost <math>x</math> dollars, where <math>x</math> is a whole number. A group of 9<sup>th</sup> graders buys tickets costing a total of $<math>48</math>, and a group of 10<sup>th</sup> graders buys tickets costing a total of $<math>64</math>. How many values for <math>x</math> are possible? |
<math>\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 5</math> | <math>\textbf{(A)}\ 1 \qquad \textbf{(B)}\ 2 \qquad \textbf{(C)}\ 3 \qquad \textbf{(D)}\ 4 \qquad \textbf{(E)}\ 5</math> |
Revision as of 10:59, 2 April 2010
Contents
[hide]Problem 1
Makarla attended two meetings during her -hour work day. The first meeting took
minutes and the second meeting took twice as long. What percent of her work day was spent attending meetings?
Problem 2
A big is formed as shown. What is its area?
![[asy] unitsize(4mm); defaultpen(linewidth(.8pt)); draw((0,0)--(5,0)--(5,2)--(2,2)--(2,8)--(0,8)--cycle); label("8",(0,4),W); label("5",(5/2,0),S); label("2",(5,1),E); label("2",(1,8),N); [/asy]](http://latex.artofproblemsolving.com/1/2/2/122a4290575eda1b63a0b302c47384ced6bb393e.png)
Problem 3
A ticket to a school play cost dollars, where
is a whole number. A group of 9th graders buys tickets costing a total of $
, and a group of 10th graders buys tickets costing a total of $
. How many values for
are possible?
Problem 4
A month with days has the same number of Mondays and Wednesdays.How many of the seven days of the week could be the first day of this month?
Problem 5
Lucky Larry's teacher asked him to substitute numbers for ,
,
,
, and
in the expression
and evaluate the result. Larry ignored the parenthese but added and subtracted correctly and obtained the correct result by coincidence. The number Larry sustitued for
,
,
, and
were
,
,
, and
, respectively. What number did Larry substitude for
?
More coming -- 11:58 EDT 4/2/10