Difference between revisions of "2013 AMC 10A Problems/Problem 2"
Countingkg (talk | contribs) (Wrote the solution, finished it.) |
|||
| Line 1: | Line 1: | ||
| + | ==Problem== | ||
| + | |||
Alice is making a batch of cookies and needs <math>2\frac{1}{2}</math> cups of sugar. Unfortunately, her measuring cup holds only <math>\frac{1}{4}</math> cup of sugar. How many times must she fill that cup to get the correct amount of sugar? | Alice is making a batch of cookies and needs <math>2\frac{1}{2}</math> cups of sugar. Unfortunately, her measuring cup holds only <math>\frac{1}{4}</math> cup of sugar. How many times must she fill that cup to get the correct amount of sugar? | ||
| + | |||
| + | <math> \textbf{(A)}\ 8 \qquad\textbf{(B)}\ 10 \qquad\textbf{(C)}\ 12 \qquad\textbf{(D)}\ 16 \qquad\textbf{(E)}\ 20 </math> | ||
| + | |||
| + | ==Solution== | ||
| + | |||
| + | To get how many cups we need, we realize that we simply need to divide the number of cups needed by the number of cups collected in her measuring cup each time. Thus, we need to evaluate the fraction <math>\frac{2\frac{1}{2}}{\frac{1}{4}}</math>. Simplifying, this is equal to <math>\frac{5}{2}(4) = 10</math>, <math>\textbf{(B)}</math>. | ||
Revision as of 19:44, 7 February 2013
Problem
Alice is making a batch of cookies and needs 
cups of sugar. Unfortunately, her measuring cup holds only 
cup of sugar. How many times must she fill that cup to get the correct amount of sugar?
Solution
To get how many cups we need, we realize that we simply need to divide the number of cups needed by the number of cups collected in her measuring cup each time. Thus, we need to evaluate the fraction 
. Simplifying, this is equal to 
, 
.
