Question

I need explanation if some can help thank you

A box Is filled with green marbles, red marbles, and blue marbles. The ratio of red marbles to Green marbles is 3:1. The ratio of red marbles to all the marbles in the box is 2 :11. Write the following ratios.

A) the ratio of red marbles to the total number of marbles?

B) the ratio of blue marbles to the total number of marbles ?

C) the ratio if blue marbles to green marbles?

D) the ratio of red marbles to blue marbles?

Answer 1

red: total = 2:11
so out of 13 marbles, 2 are red
ratio of red to green: 2:3 for every five marbles, 2 are red, 3 are green.
So, we need something to become common between 5 and 13: 65
so out of every sixty five marbles, red is
red/total=2/13 or red= 65*2/13=130/13=10 red
then green must be green/red=3/2 or green=3*10/2=15
and blue must be 65-10-15=40
check my thinking.

Answer 2

Oops. Red:green = 3:1, not 3:2
r:g = 3:1, so g:r = 1:3 = 2:6
r:t = 2:11 = 6:33
g:r:t = 2:6:33
now just read off the ratios.
r:t = 6:33 = 2/11
b:t = 1 - (g:t - r:t) = 25/33
b:g = 25/2
r:b = 6/25