SOLUTION: a bag contains 91 marbles. there are two more than twice as many blue marbles as green marbles. there are nine more white marbles than green marbles. how many green, white and blue

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Question 981852: a bag contains 91 marbles. there are two more than twice as many blue marbles as green marbles. there are nine more white marbles than green marbles. how many green, white and blue marbles are there in the bag
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
b, blue
g, green
w, white

system%28b%2Bg%2Bw=91%2Cg=2%2B2b%2Cw-g=9%29

The last two sentence descriptions require some care in interpreting.

Look at the last two equations:
2b=g-2
highlight_green%28b=%28g-2%29%2F2%29
-
highlight_green%28w=9%2Bg%29
-

Substitute into the total marble equation.
highlight_green%28%28g-2%29%2F2%2Bg%2Bg%2B9=91%29
Solve this for g, first.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

a bag contains 91 marbles. there are two more than twice as many blue marbles as green marbles. there are nine more white marbles than green marbles. how many green, white and blue marbles are there in the bag
highlight_green%28system%2820_green%2C42_blue_and%2C29_white%29%29 marbles