document.write( "Question 340056: If 4 apples and 2 oranges equals $1 and 2 apples and 3 oranges equals $0.70, how much does each apple and each orange cost? \n" ); document.write( "
Algebra.Com's Answer #243748 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = cost of each apple
\n" ); document.write( "let r = cost of each orange
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "If 4 apples and 2 oranges equals $1
\n" ); document.write( "4a + 2r = 1.00
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\n" ); document.write( "2 apples and 3 oranges equals $0.70,
\n" ); document.write( "2a + 3r = .70
\n" ); document.write( ":
\n" ); document.write( "Multiply the above equation by 2, subtract the 1st equation
\n" ); document.write( "4a + 6r = 1.40
\n" ); document.write( "4a + 2r = 1.00
\n" ); document.write( "-----------------Subtraction eliminates a find r:
\n" ); document.write( "4r = .40
\n" ); document.write( "r = .10 for each orange
\n" ); document.write( "then
\n" ); document.write( "4a + 2r = 1.00
\n" ); document.write( "replace r with .10
\n" ); document.write( "4a + 2(.10) = 1.00
\n" ); document.write( "4a = 1.00 - .20
\n" ); document.write( "4a = .80
\n" ); document.write( "a = .20 for each apple
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "2a + 3r = .70
\n" ); document.write( "2(.20) + 3(.10) = .70\r
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