SOLUTION: Question: Jim has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles. Write a pair of linear equations to repre

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Question 1032030:
Question:
Jim has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
Write a pair of linear equations to represent information. Be sure to indicate what the variables represent.
Explain the replacement method solving this pair of equations. Solve the equations to find the number of red marbles. Show your work.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Jim has a total of 77 red and blue marbles. The number of blue marbles is five more than twice the number of red marbles.
Write a pair of linear equations to represent information. Be sure to indicate what the variables represent.
r + b = 77 marbles
b = 2r + 5
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Explain the replacement method solving this pair of equations. Solve the equations to find the number of red marbles. Show your work.
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Substitute for "b" and solve for "r"::
r + 2r+5 = 77
3r = 72
red = 24 (# of red marbles)
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Solve for "b"::
b = 77 - r = 77-24 = 53 (# of blue marbles)
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Cheers,
Stan H.
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