SOLUTION: A bag contains 36 marbles, some of which are red and the remainder of which are blue. Twice the number of red marbles is six less than the number of blue marbles. Find the number o
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Question 482675: A bag contains 36 marbles, some of which are red and the remainder of which are blue. Twice the number of red marbles is six less than the number of blue marbles. Find the number of marbles of each color. (Answer: 10 red marbles; 26 blue marbles). Just need the work to be shown. Thanks.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A bag contains 36 marbles, some of which are red and the remainder of which are blue. Twice the number of red marbles is six less than the number of blue marbles. Find the number of marbles of each color.
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Equations:
r + b = 36 marbles
2r = b-6
----
Solve for "b" and substitute:
b = 2r+6
---
r + 2r+6 = 36
3r = 30
r = 10 (# of red marbles)
----
b = 36-10 = 26 (# of blue marbles)
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Cheers,
Stan H.
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