Difference between revisions of "2009 AMC 12B Problems/Problem 1"

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Each morning of her five-day workweek, Jane bought either a 50-cent muffin or a 75-cent bagel. Her total cost for the week was a whole number of dollars. How many bagels did she buy?
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If an even number of muffins were bought, then the number of bagels bought would have to be at least 4 in order to maintain a whole number of dollars. Since that is not possible the number of muffins must be either 1 or 2. The answer is 2. 2*.75= 1.5. 3*.5=1.5. 1.5+1.5=3 whole dollars
 
 
 
 
A. 1     B. 2    C. 3     D. 4    E. 5
 

Revision as of 19:51, 27 February 2009

If an even number of muffins were bought, then the number of bagels bought would have to be at least 4 in order to maintain a whole number of dollars. Since that is not possible the number of muffins must be either 1 or 2. The answer is 2. 2*.75= 1.5. 3*.5=1.5. 1.5+1.5=3 whole dollars