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

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== Problem ==
 
== Problem ==
Purple paint is made with a <math>16:3:1</math> ratio of white paint : blue paint : red paint. How much white paint, in gallons, is needed in order to make one gallon of purple paint? Express your answer as a common fraction.
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At Frank's Fruit Market, <math>3</math> bananas cost as much as <math>2</math> apples, and <math>6</math> apples cost as much as <math>4</math> oranges. How many oranges cost as much as <math>18</math> bananas?
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<math>\textbf{(A) } 6 \qquad\textbf{(B) } 8 \qquad\textbf{(C) } 9 \qquad\textbf{(D) } 12 \qquad\textbf{(E) } 18</math>
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== Solution ==
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<math>3</math> bananas cost as much as <math>2</math> apples, so <math>18</math> bananas cost as much as <math>12</math> apples. Since <math>6</math> apples cost as much as <math>4</math> oranges, <math>12</math> apples cost as much as <math>8</math> oranges, giving <math>(B)</math>.
  
 
==See Also==
 
==See Also==

Latest revision as of 21:56, 6 June 2025

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?

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


Solution

$3$ bananas cost as much as $2$ apples, so $18$ bananas cost as much as $12$ apples. Since $6$ apples cost as much as $4$ oranges, $12$ apples cost as much as $8$ oranges, giving $(B)$.

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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