Difference between revisions of "2009 AMC 10B Problems/Problem 1"

(New page: == Problem == 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 di...)
 
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{{duplicate|[[2009 AMC 10B Problems|2009 AMC 10B #1]] and [[2009 AMC 12B Problems|2009 AMC 12B #1]]}}
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== Problem ==
 
== Problem ==
 
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?
 
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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== Solution ==
 
== Solution ==
The only combination of five items with total cost a whole number of dollars is 3 muffins and 2 bagels. Thus, the answer is <math>\mathrm{(B)}</math>.
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The only combination of five items with total cost a whole number of dollars is 3 muffins and <math>\boxed {2}</math> bagels. The answer is <math>\mathrm{(B)}</math>.
  
 
{{AMC10 box|year=2009|ab=B|before=First Question|num-a=2}}
 
{{AMC10 box|year=2009|ab=B|before=First Question|num-a=2}}
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{{AMC12 box|year=2009|ab=B|before=First Question|num-a=2}}

Revision as of 16:02, 26 February 2009

The following problem is from both the 2009 AMC 10B #1 and 2009 AMC 12B #1, so both problems redirect to this page.

Problem

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?

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

Solution

The only combination of five items with total cost a whole number of dollars is 3 muffins and $\boxed {2}$ bagels. The answer is $\mathrm{(B)}$.

2009 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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 AMC 10 Problems and Solutions
2009 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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 AMC 12 Problems and Solutions