Difference between revisions of "2009 AMC 10A Problems/Problem 1"
(New page: == Problem 1 == One can holds <math>12</math> ounces of soda. What is the minimum number of cans needed to provide a gallon (128 ounces) of soda? <math> \mathrm{(A)}\ 7 \qquad \mathrm{(B)...) |
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− | == Problem | + | == Problem == |
− | One can holds <math>12</math> ounces of soda | + | One can holds <math>12</math> ounces of soda, what is the minimum number of cans needed to provide a gallon (<math>128</math> ounces) of soda? |
− | <math> | + | <math>\textbf{(A)}\ 7\qquad |
− | \ | + | \textbf{(B)}\ 8\qquad |
− | \qquad | + | \textbf{(C)}\ 9\qquad |
− | \ | + | \textbf{(D)}\ 10\qquad |
− | \qquad | + | \textbf{(E)}\ 11</math> |
− | \ | ||
− | \qquad | ||
− | \ | ||
− | \qquad | ||
− | \ | ||
− | </math> | ||
− | + | == 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{\boxed{(E)}}</math>. | ||
+ | |||
+ | == Solution 2 == | ||
+ | We want to find <math>\left\lceil\frac{128}{12}\right\rceil</math> because there are a whole number of cans. | ||
+ | |||
+ | <math>\frac{128}{12} = 10R8\longrightarrow 11\longrightarrow \fbox{(E)}.</math> | ||
+ | |||
+ | ==See Also== | ||
+ | |||
+ | {{AMC10 box|year=2009|ab=A|before=First Question|num-a=2}} | ||
+ | {{MAA Notice}} |
Latest revision as of 08:00, 8 June 2021
Contents
Problem
One can holds ounces of soda, what is the minimum number of cans needed to provide a gallon ( ounces) of soda?
Solution 1
cans would hold ounces, but , so cans are required. Thus, the answer is .
Solution 2
We want to find because there are a whole number of cans.
See Also
2009 AMC 10A (Problems • Answer Key • Resources) | ||
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 |
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