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

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==Problem==
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== Problem ==
 
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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.
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?
 
 
 
<math>\mathrm {(A)} 6</math>   <math>\mathrm {(B)} 8</math>  <math>\mathrm {(C)} 9</math>  <math>\mathrm {(D)} 12</math>  <math>\mathrm {(E)} 18</math>
 
 
 
==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 <math>8 \Rightarrow \mathrm {(B)}</math> oranges.
 
  
 
==See Also==
 
==See Also==
  
 
{{AMC12 box|year=2007|ab=B|num-b=3|num-a=5}}
 
{{AMC12 box|year=2007|ab=B|num-b=3|num-a=5}}
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{{MAA Notice}}

Latest revision as of 11:43, 7 October 2024

Problem

Purple paint is made with a $16:3:1$ 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.

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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