document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195959>Question 1195959</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A friend spent $19.5 on buying candy. Lollipops cost $0.32 and Hershey kisses cost $0.23<BR>\n" );
document.write( "each. If she bought 75 pieces of candy, how many of each type did she buy? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #828601 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=828601\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The other tutor showed a solution using a standard formal algebraic method.<br><BR>\n" );
document.write( "A very different method can be used on any 2-part \"mixture\" problem like this which can make it easier to find the answer if the numbers are \"nice\".<br><BR>\n" );
document.write( "In this problem, one kind of candy costs $0.32 each and another costs $0.23 each; and 75 pieces of candy cost $19.50.<br><BR>\n" );
document.write( "Divide the $19.50 by 75 to find the average cost of the pieces of candy is $0.26.<br><BR>\n" );
document.write( "Then, seeing that $0.26 is 1/3 of the way from $0.23 to $0.32, we know that 1/3 of the candies are the more expensive ones.  So 75/3 = 25 of the candies are lollipops, leaving 50 for the number of kisses.<br><BR>\n" );
document.write( "ANSWER: 25 lollipops, 50 kisses<br><BR>\n" );
document.write( "CHECK: 25(0.32)+50(0.23)=8.00+11.50 = 19.50<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );