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

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== Solution 1 ==
 
== Solution 1 ==
 
<math>10</math> cans would hold <math>120</math> ounces, but <math>128>120</math>, so <math>11</math> cans are required. Thus, the answer is <math>\mathrm{(E)}</math>.
 
<math>10</math> cans would hold <math>120</math> ounces, but <math>128>120</math>, so <math>11</math> cans are required. Thus, the answer is <math>\mathrm{(E)}</math>.
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== Solution 2 ==
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We can divide <math>128/12</math> and round up because there are a whole number of cans.
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<math>128/12 = 10R8\longrightarrow 11\longrightarrow \fbox{E}.</math>
  
 
{{AMC10 box|year=2009|ab=A|before=First Question|num-a=2}}
 
{{AMC10 box|year=2009|ab=A|before=First Question|num-a=2}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 17:03, 25 December 2017

Problem

One can hold $12$ ounces of soda. What is the minimum number of cans needed to provide a gallon ($128$ ounces) of soda?

$\mathrm{(A)}\ 7\qquad \mathrm{(B)}\ 8\qquad \mathrm{(C)}\ 9\qquad \mathrm{(D)}\ 10\qquad \mathrm{(E)}\ 11$

Solution 1

$10$ cans would hold $120$ ounces, but $128>120$, so $11$ cans are required. Thus, the answer is $\mathrm{(E)}$.


Solution 2

We can divide $128/12$ and round up because there are a whole number of cans.

$128/12 = 10R8\longrightarrow 11\longrightarrow \fbox{E}.$

2009 AMC 10A (ProblemsAnswer KeyResources)
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Problem 2
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