SOLUTION: In a jar of red, green and blue marbles,all but 15 are red marbles,all but 21 are green,and all but 14 are blue.how many marbles are there in the jar?

Question 808234: In a jar of red, green and blue marbles,all but 15 are red marbles,all but 21 are green,and all but 14 are blue.how many marbles are there in the jar?

Answer by Finavon(81) (Show Source): You can put this solution on YOUR website!
Main difficulty is writing the equations.
Let number of marbles be R, G and B
G+B=15 (1) (ie non red)
R+B=21 (non green)
R+G=14 (non blue)
add all together:
2G+2B+2R=50
So R+G+B=25 (2)
There are 25 marbles in total
Check:
Substitute (1) in (2): R+15=25
So R=10
Then B=11 and G=4
With a total of 25
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