Difference between revisions of "2012 AMC 8 Problems/Problem 4"
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<math> \textbf{(A)}\hspace{.05in}\frac{1}{24}\qquad\textbf{(B)}\hspace{.05in}\frac{1}{12}\qquad\textbf{(C)}\hspace{.05in}\frac{1}{8}\qquad\textbf{(D)}\hspace{.05in}\frac{1}{6}\qquad\textbf{(E)}\hspace{.05in}\frac{1}{4} </math> | <math> \textbf{(A)}\hspace{.05in}\frac{1}{24}\qquad\textbf{(B)}\hspace{.05in}\frac{1}{12}\qquad\textbf{(C)}\hspace{.05in}\frac{1}{8}\qquad\textbf{(D)}\hspace{.05in}\frac{1}{6}\qquad\textbf{(E)}\hspace{.05in}\frac{1}{4} </math> | ||
| − | ==Solution== | + | ==Solution 1== |
Peter ate <math>1 + \frac{1}{2} = \frac{3}{2}</math> slices. The pizza has <math> 12 </math> slices total. Taking the ratio of the amount of slices Peter ate to the amount of slices in the pizza, we find that Peter ate <math>\dfrac{\frac{3}{2}\text{ slices}}{12\text{ slices}} = \boxed{\textbf{(C)}\ \frac{1}{8}}</math> of the pizza. | Peter ate <math>1 + \frac{1}{2} = \frac{3}{2}</math> slices. The pizza has <math> 12 </math> slices total. Taking the ratio of the amount of slices Peter ate to the amount of slices in the pizza, we find that Peter ate <math>\dfrac{\frac{3}{2}\text{ slices}}{12\text{ slices}} = \boxed{\textbf{(C)}\ \frac{1}{8}}</math> of the pizza. | ||
| + | |||
| + | ==Solution 2== | ||
| + | Another way of doing this question is adding the slices separately. When Peter splits a slice of pizza into two, the equation is /frac{1}{2} of /frac{1}{12}. The answer, /frac{1}{24} added by /frac{1}{12} is the answer is \boxed{\textbf{(C)}\ \frac{1}{8}}$ of the pizza. ~SmartGrowth | ||
==See Also== | ==See Also== | ||
{{AMC8 box|year=2012|num-b=3|num-a=5}} | {{AMC8 box|year=2012|num-b=3|num-a=5}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 17:22, 20 December 2021
Contents
Problem
Peter's family ordered a 12-slice pizza for dinner. Peter ate one slice and shared another slice equally with his brother Paul. What fraction of the pizza did Peter eat?
Solution 1
Peter ate 
slices. The pizza has 
slices total. Taking the ratio of the amount of slices Peter ate to the amount of slices in the pizza, we find that Peter ate 
of the pizza.
Solution 2
Another way of doing this question is adding the slices separately. When Peter splits a slice of pizza into two, the equation is /frac{1}{2} of /frac{1}{12}. The answer, /frac{1}{24} added by /frac{1}{12} is the answer is \boxed{\textbf{(C)}\ \frac{1}{8}}$ of the pizza. ~SmartGrowth
See Also
| 2012 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
