SOLUTION: A jar contains a total of 20 red, black and blue marbles. There are two more black marbles than red marbles and four more blue marbles than black marbles. How many marbles of each

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A jar contains a total of 20 red, black and blue marbles. There are two more black marbles than red marbles and four more blue marbles than black marbles. How many marbles of each       Log On


   

Question 950508: A jar contains a total of 20 red, black and blue marbles. There are two more black marbles than red marbles and four more blue marbles than black marbles. How many marbles of each color are there?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
R-Red
B-Black
U-Blue
R%2BB%2BU=20
B=2%2BR
U=4%2BB=4%2B2%2BR=6%2BR
Substitute,
R%2B2%2BR%2B6%2BR=20
3R%2B8=20
3R=12
R=4
So then,
B=2%2B4
B=6
and
U=6%2B4
U=10