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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 26, 2023
 #1
avatar+95 
+3

add all the ratio numbers and then divide it by how many marbles there are. 

 

1+2+3+4=10 

180/10=18

18x3=54

54 blue marbles

 Jun 26, 2023
 #2
avatar+131 
+1

You start by adding all the numbers in the ratio and divide the total by that number. This results in 1+2+3+4=10 and 180/10=18

We then find that the blue is 3 in the ratio, so we multiply 18 by 3 to get our answer of 54 blue marbles

 

Work:

x+2x+3x+4x= 180

10x=180

x=18

18x3=54

54 blue marbles

 Jun 27, 2023
 #3
avatar+274 
+1

Assume:

the # of yellow marbles is x

the # of green marbles is 2x

the # of blue marbles is 3x

the # of white marbles is 4x

 

x+2x+3x+4x=180

10x = 180 

x = 18

 

the # of blue marbles = 3x = 3(18) = 54 marbles

 Jun 27, 2023

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