SOLUTION: Hi 44% of the marbles in a box are red. The rest are green and blue in the ratio of 5:3. There are 270 more red than green. what percentage of the marbles are green. How m

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Question 1108778: Hi
44% of the marbles in a box are red. The rest are green and blue in the ratio of 5:3. There are 270 more red than green.
what percentage of the marbles are green.
How many marbles are there in the box.
thanks
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

let red marbles be
let green and blue marbles be and
let the total number of marbles in the box be
given:
% or of the marbles in a box are red: => ....eq.1
green and blue in the ratio of : =>
=>
=>....eq.1a

the total number of marbles in the box will be:

since there are more red than green, and the number of green is
....since , we have
...eq.2
substitute values from eq.1a and eq.2
...sole for

...=> the total number of marbles in the box

since % or of the marbles in a box are red, we have

since there are more red than green, we have

what percentage () of the marbles are green:

so, % of marbles are green

since the number of blue marbles is , we have

so, we have red , green, and blue marbles in the box

check if green and blue are in the ratio of :

which is true