document.write( "Question 538111: Diana purchased 6 pounds of strawberries and 4 pounds of apples for $18.90. Then she realizes that was not enough and purchased 3 more pounds of each fruit for $10.74. What was the cost per pound for each type of fruit? \n" ); document.write( "

Algebra.Com's Answer #353114 by mananth(16946) $\"\"$ $\"About$

You can put this solution on YOUR website!
strawberries x $/lb , Price = $9.00
\n" ); document.write( "Apples y $/lb , Price = $55.00
\n" ); document.write( " Total 345
\n" ); document.write( "6 x + 4 y = 18.9 .............1
\n" ); document.write( "3 x + 3 y = 10.74 .............2
\n" ); document.write( "Eliminate y
\n" ); document.write( "multiply (1)by -3
\n" ); document.write( "Multiply (2) by 4
\n" ); document.write( "-18 x -12 y = -56.7
\n" ); document.write( "12 x + 12 y = 42.96
\n" ); document.write( "Add the two equations
\n" ); document.write( "-6 x = -13.74
\n" ); document.write( "/ -6
\n" ); document.write( "x = 2.29
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "6 x + 4 y = 18.9
\n" ); document.write( "13.74 + 4 y = 18.9
\n" ); document.write( " 4 y = 18.9 -13.74
\n" ); document.write( " 4 y = 5.16
\n" ); document.write( " y = 1.29
\n" ); document.write( "strawberries $/lb 2.29
\n" ); document.write( "Apples $/lb 1.29
\n" ); document.write( "m.ananth@hotmail.ca
\n" ); document.write( " \n" ); document.write( "

\n" );