document.write( "Question 1101674: Mr. Jackson is filling planter boxes with soil. He has soil that is 19% sand, and he buys 8 pounds of a commercial potting soil that is 22% sand. He mixes some of his soil with the 8 pounds of commercial potting soil. The resulting soil mixture is 21% sand. How many pounds of his soil did Mr. Jackson use?\r
\n" ); document.write( "\n" ); document.write( "A. 12 lb
\n" ); document.write( "B. 4 lb
\n" ); document.write( "C. 2 lb
\n" ); document.write( "D. 8 lb
\n" ); document.write( "

Algebra.Com's Answer #716272 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Let C denote the 19% solution and D denote the final 21% solution.
\n" ); document.write( "We have 8 lbs of 22% solution.
\n" ); document.write( "Using the method of alligation.
\n" ); document.write( "1= 21 - 22
\n" ); document.write( "2= 19 - 21
\n" ); document.write( "E.g. There are 2 parts of C for every 1 parts of D
\n" ); document.write( "then there are 8 parts of z, since (2/1)=8/z
\n" ); document.write( "x= 4= 8/(2/1) lbs of 19% solution to add to your 8 lbs of 22% solution.
\n" ); document.write( "y= 12= (8+4) lbs of the final 21% solution.
\n" ); document.write( "check
\n" ); document.write( "0.19 * 4 + 0.22 * 8 = 0.21*(8+4)
\n" ); document.write( "0.76 + 1.76 = 0.21*(12)
\n" ); document.write( "2.52 = 2.52
\n" ); document.write( "ok
\n" ); document.write( "
\r\n" );
document.write( "22         2       8 lbs of 22% solution\r\n" );
document.write( "      21          12 lbs of 21% solution\r\n" );
document.write( "19         1 1/2*8=4 lbs of 19% solution\r\n" );
document.write( "           3\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );