SOLUTION: thank you for helping math Allegation Problem: Word Problem In what proportion must plain coal tar be combined with a 2% coal tar ointment to make a 4% coal tar ointment? t

Question 815060: thank you for helping math
Allegation Problem: Word Problem
In what proportion must plain coal tar be combined with a 2% coal tar ointment to make a 4% coal tar ointment?
thank you again.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
2% is
4% is
Plain coal tar is 100% =
---------------------------------
Let = units of 2% coal tar needed
Let = units of 100% coal tar needed
( I will choose units for and
so that units
---------------------------------------------
(1)
(2)
---------------
(1)
(1)
(1)
and
(2)
by substitution:
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
(2)
------------------
The proportion of plain coal tar to 2% coal tar
should be:

--------------
check answer:
(1)
(1)
(1)
(1)
Multiply both sides by
(1)
(1)
(1)
OK
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