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A bag contains yellow, green, blue, and white marbles.  The ratio of yellow, green, blue, and white marbles is 1:2:3:4.  If the bag contains 180 marbles, then how many blue marbles are there?

 Jun 10, 2023
 #1
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54 blue marbles

 Jun 10, 2023
 #2
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The other guy gave the right answer, but, heck, you

could get that from the answers in the back of the book. 

That doesn't help you with the "how" of solving the problem. 

Here's the way I answered this problem several days ago.  

 

A bag contains yellow, green, blue, and white marbles.  The ratio of yellow, green, blue, and white marbles is 1:2:3:4.  If the bag contains 180 marbles, then how many blue marbles are there?  

 

Consider:  "The ratio of yellow, green, blue, and white marbles is 1:2:3:4."  

 

Call the number of yellow marbles X.  

So the number of green marbles is 2X. 

And the number of blue marbles is 3X.  

And the number of white marbles is 4X.  

 

Add up all the marbles and you have     10X  =  180  

 

Therefore                                                   X  =  18 yellow marbles  

                                                                 2X  =  36 green marbles  

                                                                 3X  =  54 blue marbles  

                                                                 4X  =  72 white marbles  

.

 Jun 11, 2023

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