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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?

 May 29, 2023
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Hello! The answer is 54 and here is my solution:

 

Since the ratio of yellow, green, blue, and white marbles is 1:2:3:4 –

 

yellow = x

green = 2x

blue = 3x

white = 4x

 

So x + 2x + 3x + 4x = 180 marbles. Then we simplfy to 10x = 180, therfore x = 18. So there are 18 yellow marbles, now we have to find how many blue marbles there are which is 3*18 = 54.

 May 29, 2023

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