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

(Problem: this page included the wrong problem)
 
(7 intermediate revisions by 5 users not shown)
Line 1: Line 1:
==Problem==
+
== 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?
 
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?
  
==Solution==
+
<math>\mathrm {(A)} 6\qquad \mathrm {(B)} 8\qquad \mathrm {(C)} 9\qquad \mathrm {(D)} 12\qquad \mathrm {(E)} 18</math>
  
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.
+
== Solution ==
 +
<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.
  
 
==See Also==
 
==See Also==

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

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png

Invalid username
Login to AoPS