SOLUTION: A carpenter orders 84 doors. He orders 3 times as many red doors as blue doors. How many blue doors does he order?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A carpenter orders 84 doors. He orders 3 times as many red doors as blue doors. How many blue doors does he order?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1066348: A carpenter orders 84 doors. He orders 3 times as many red doors as blue doors. How many blue doors does he order?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
[ blue doors ] / [ red doors ] = 1/3
Let +x+ = number of blue doors
+84+-+x+ = number of red doors
--------------------------------
+x+%2F+%28+84+-+x+%29+=+1%2F3+
Multiply both sides by +3%2A%28+84+-+x+%29+
+3x+=+84+-+x+
+4x+=+84+
+x+=+21+
and
+84+-+x+=+84+-+21+
+84+-+x+=+63+
---------------------
He orders 21 blue doors
----------------------
check:
+21+%2F+63+=+1%2F3+
Divide top and bottom of the left
side by +21+
+1+%2F+3+=+1+%2F+3+
OK

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A carpenter orders 84 doors. He orders 3 times as many red doors as blue doors. How many blue doors does he order?
Let number of blue doors be B
Then number of red doors = 3B
We then get: B + 3B = 84
4B = 84
B, or number of blue doors = highlight_green%28matrix%281%2C3%2C+84%2F4%2C+or%2C+21%29%29