document.write( "Question 334692: At Gwen's garage sale, all books were one price, and all magazines were another price. Harriet bought four books and three magazines for $1.45, and June bought two books and five magazines for $1.25. What was the price of a book and what was the price of a book and what was the price of a magazine? \n" ); document.write( "
Algebra.Com's Answer #240120 by nyc_function(2741)\"\" \"About 
You can put this solution on YOUR website!
4B + 3M = 145 cents
\n" ); document.write( "2B + 5M = 125 cents\r
\n" ); document.write( "\n" ); document.write( "This second equation tells you that buying twice as much will give you:
\n" ); document.write( "4B + 10M = 250 cents\r
\n" ); document.write( "\n" ); document.write( "So, now, compare the two equations:
\n" ); document.write( "4B + 3M = 145 cents
\n" ); document.write( "4B + 10M = 250 cents\r
\n" ); document.write( "\n" ); document.write( "Since both have the same number of books, the only difference is in the number of magazines:
\n" ); document.write( "7 extra magazines accounts for 105 cents (subtracting 10M - 3M, and 250 - 145).\r
\n" ); document.write( "\n" ); document.write( "So, magazines must cost 15cents, or $0.15 each.
\n" ); document.write( "And putting this value into one of the original equations:
\n" ); document.write( "4B + 3 * 15 = 145
\n" ); document.write( "4B = 100
\n" ); document.write( "B = 25 cents = $0.25\r
\n" ); document.write( "\n" ); document.write( "So, magazines cost $0.15, and books cost $0.25.
\n" ); document.write( " \n" ); document.write( "
\n" );