Difference between revisions of "2012 AMC 10B Problems"
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== Problem 5 == | == Problem 5 == | ||
| − | 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? | + | 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? |
</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> | </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> | ||
[[2012 AMC 10B Problems/Problem 5|Solution]] | [[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?
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?
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?
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?
Problem 5
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 '
\textbf{(A)}\ 
20\qquad\textbf{(C)}\ 
22\qquad\textbf{(E)}\ 
