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?
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
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
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