SOLUTION: A box of 140 marbles contains only red, green, and blue marbles. There are three times as many green marbles as red marbles. There are six times times as many blue marbles as red m

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Question 603049: A box of 140 marbles contains only red, green, and blue marbles. There are three times as many green marbles as red marbles. There are six times times as many blue marbles as red marbles. How many blue marbles are there in the box?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A box of 140 marbles contains only red, green, and blue marbles. There are three times as many green marbles as red marbles. There are six times times as many blue marbles as red marbles. How many blue marbles are there in the box?
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Equation:
r + g + b = 140
g = 3r
b = 6r
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Substitute:
r + 3r + 6r = 140
10r = 140
r = 14 (# of red)
g = 3r = 42 (# of green)
b = 6r = 84 (# of blue)
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Cheers,
Stan H.