document.write( "Question 353040: A pharmacist wishes to fill a total of 200 capsules, some 3-grain and 2-grain capsules, using 520 grains of a certain drug. How many capsules of each kind does he fill? \n" ); document.write( "
Algebra.Com's Answer #252270 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A pharmacist wishes to fill a total of 200 capsules, some 3-grain and 2-grain capsules, using 520 grains of a certain drug. How many capsules of each kind does he fill?
\n" ); document.write( "-----
\n" ); document.write( "Let \"a\" be number of 2-grain capsules
\n" ); document.write( "Let \"b\" be number of 3-grain capsules
\n" ); document.write( "---------------------------------
\n" ); document.write( "Quantity:::: a + b = 200 capsules
\n" ); document.write( "Grains Eq:::2a + 3b = 520 grains
\n" ); document.write( "---
\n" ); document.write( "Multiply thru 1st equation by 2 to get:
\n" ); document.write( "2a + 2b = 2*200
\n" ); document.write( "---
\n" ); document.write( "Subtract that from the Grains Eq. and solve for \"b\":
\n" ); document.write( "b = 120 (# of 3-grain capsules)
\n" ); document.write( "--------------
\n" ); document.write( "Since a+b = 200, a = 80 (# of 2-grain capsules)
\n" ); document.write( "===================================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
\n" );