Question 1032030
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
------------------------
Explain the replacement method solving this pair of equations. Solve the equations to find the number of red marbles. Show your work.
-------
Substitute for "b" and solve for "r"::
r + 2r+5 = 77
3r = 72
red = 24 (# of red marbles)
----------------
Solve for "b"::
b = 77 - r = 77-24 = 53 (# of blue marbles)
--------------
Cheers,
Stan H.
--------