document.write( "Question 731618: Twenty pound of dried fruit mix contained prunes worth $3.50 a pound and apricots worth $2.95 a pound. How many pounds of each did the mix contain if the total value of the mix was $66.15? \n" ); document.write( "

Algebra.Com's Answer #447219 by mananth(16946) $\"\"$ $\"About$

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x= pounds of prunes
\n" ); document.write( "y= pounds of no of mechanics
\n" ); document.write( "
\n" ); document.write( "1.00 x + 1.00 y = 20.00 .............1
\n" ); document.write( "Total value
\n" ); document.write( "3.50 x + 2.95 y = 66.15 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -2.95
\n" ); document.write( "Multiply (2) by 1.00
\n" ); document.write( "-2.95 x -2.95 y = -59.00
\n" ); document.write( "3.50 x + 2.95 y = 66.15
\n" ); document.write( "Add the two equations
\n" ); document.write( "0.55 x = 7.15
\n" ); document.write( "/ 0.55
\n" ); document.write( "x = 13.00
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "1.00 x + 1.00 y = 20.00
\n" ); document.write( "13.00 + y = 20.00
\n" ); document.write( " y = 20.00 -13.00
\n" ); document.write( " y = 7.00
\n" ); document.write( " y = 7.00
\n" ); document.write( "x= 13.00 pounds of prunes
\n" ); document.write( "y= 7.00 pounds of no of mechanics
\n" ); document.write( "m.ananth@hotmail.ca
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