SOLUTION: Ned has 55 marbles in his collection. He has twice as many white marbles as red marbles. He has 5 more blue marbles than white marbles. How many white marbles does Ned have?

Algebra ->  Human-and-algebraic-language -> SOLUTION: Ned has 55 marbles in his collection. He has twice as many white marbles as red marbles. He has 5 more blue marbles than white marbles. How many white marbles does Ned have?       Log On


   



Question 884513: Ned has 55 marbles in his collection. He has twice as many white marbles as red marbles. He has 5 more blue marbles than white marbles. How many white marbles does Ned have?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +w+ = number of white marbles
Let +r+ = number of red marbles
Let +b+ = number of blue marbles
--------------------------------
(1) +w+%2B+r+%2B+b+=+55+
(2) +w+=+2r+
(3) +b+=+w+%2B+5+
-----------------
(2) +r+=+w%2F2+
Substitute (2) and (3) into (1)
(1) +w+%2B+w%2F2+%2B+w+%2B+5+=+55+
(1) +%285%2F2%29%2Aw+=+50+
(1) +5w+=+100+
(1) +w+=+20+
and
(3) +b+=+w+%2B+5+
(3) +b+=+20+%2B+5+
(3) +b+=+25+
and
(2) +r+=+w%2F2+
(2) +r+=+20%2F2+
(2) +r+=+10+
Ned has 20 white marbles
check:
(3) +b+=+w+%2B+5+
(3) +25+=+20++%2B+5+
(3) +25+=+25+
OK