Difference between revisions of "2007 AMC 12B Problems/Problem 4"

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At Frank's Fruit Market, 3 bananas cost as much as 2 apples, and 6 apples cost as much as 4 oranges. How many oranges cost as much as 18 bananas?  
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== Problem ==
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At Frank's Fruit Market, 3 bananas cost as much as 2 apples, and 6 apples cost as much as 4 oranges. How many oranges cost as much as 18 bananas?
  
A. 6 B. 8 C. 9 D. 12 E. 18
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<math>\mathrm {(A)} 6\qquad \mathrm {(B)} 8\qquad \mathrm {(C)} 9\qquad \mathrm {(D)} 12\qquad \mathrm {(E)} 18</math>
  
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== Solution ==
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<math>18</math> bananas cost the same as <math>12</math> apples, and <math>12</math> apples cost the same as <math>8</math> oranges, so <math>18</math> bananas cost the same as <math>8 \Rightarrow \mathrm {(B)}</math> oranges.
  
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==See Also==
  
{{solution}}
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{{AMC12 box|year=2007|ab=B|num-b=3|num-a=5}}
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{{MAA Notice}}

Latest revision as of 16:33, 15 February 2021

Problem

At Frank's Fruit Market, 3 bananas cost as much as 2 apples, and 6 apples cost as much as 4 oranges. How many oranges cost as much as 18 bananas?

$\mathrm {(A)} 6\qquad \mathrm {(B)} 8\qquad \mathrm {(C)} 9\qquad \mathrm {(D)} 12\qquad \mathrm {(E)} 18$

Solution

$18$ bananas cost the same as $12$ apples, and $12$ apples cost the same as $8$ oranges, so $18$ bananas cost the same as $8 \Rightarrow \mathrm {(B)}$ oranges.

See Also

2007 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 3
Followed by
Problem 5
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

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