SOLUTION: ned has 55 marbles in his collection. he has twice as many white marbles as red marbles. he has five more blue marbles than white marbles. how many white marbles does ned have

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Question 888050: ned has 55 marbles in his collection. he has twice as many white marbles as red marbles. he has five more blue marbles than white marbles. how many white marbles does ned have
Answer by JulietG(1812) About Me  (Show Source):
You can put this solution on YOUR website!
W + R + B = 55 (I'm assuming there are no other colored marbles)
R = 1%2F2W [he has twice as many white marbles as red marbles]
B = W + 5 [he has five more blue marbles than white marbles.]
Substitute the known values of R and B into the top equation.
W + R + B = 55
W + (1%2F2W) + (W+5) = 55
Add
2.5W + 5 = 55
Subtract 5 from each side
2.5W = 50
Divide each side by 2.5
W = 20
If there are 20 white marbles, then there are 25 blue marbles, and 10 red marbles.
20+25+10 = 55