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Difference between revisions of "2012 AMC 10B Problems"
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[[2012 AMC 10B Problems/Problem 4|Solution]]
 
[[2012 AMC 10B Problems/Problem 4|Solution]]
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== Problem 5 ==
 
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Anna enjoys dinner at a restaurant in Washington, D.C., where the sales tax on the meals is 10%.  She leaves a 15% tip on the price of her meal before the sales tax is added, and the tax is calculated on the pre-tip amount.  She spends a total of '<math>'27.50 for dinner.  What is the cost of her dinner without tax or tip?
 
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</math> \textbf{(A)}\ <math>18\qquad\textbf{(B)}\ </math>20\qquad\textbf{(C)}\ <math>21\qquad\textbf{(D)}\ </math>22\qquad\textbf{(E)}\ <math>24 </math>
 
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[[2012 AMC 10B Problems/Problem 5|Solution]]
 

Revision as of 19:58, 23 February 2012

Problem 1

Each third-grade classroom at Pearl Creek Elementary has 18 students and 2 pet rabbits. How many more students than rabbits are there in all 4 of the third-grade classrooms?

$\textbf{(A)}\ 48\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 64\qquad\textbf{(D)}\ 72\qquad\textbf{(E)}\ 80$

Solution

Problem 2

A circle of radius 5 is inscribed in a rectangle as shown. The ratio of the length of the rectangle to its width is 2:1. What is the area of the rectangle?

$\textbf{(A)}\ 50\qquad\textbf{(B)}\ 100\qquad\textbf{(C)}\ 125\qquad\textbf{(D)}\ 150\qquad\textbf{(E)}\ 200$

Solution

Problem 3

The point in the xy-plane with coordinates (1000, 2012) is reflected across the line y=2000. What are the coordinates of the reflected point?

$\textbf{(A)}\ (998,2012)\qquad\textbf{(B)}\ (1000,1988)\qquad\textbf{(C)}\ (1000,2024)\qquad\textbf{(D)}\ (1000,4012)\qquad\textbf{(E)}\ (1012,2012)$

Solution

Problem 4

When Ringo places his marbles into bags with 6 marbles per bag, he has 4 marbles left over. When Paul does the same with his marbles, he has 3 marbles left over. Ringo and Paul pool their marbles and place them into as many bags as possible, with 6 marbles per bag. How many marbles will be left over?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$

Solution

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