document.write( "Question 1039334: a man bought some apple at the rate $5 per apple.he also bought an equal number of banana s at the rate $2.he sold the apple at a profit of 20% and the banana s at a loss of 5% but still he made a overall profit of $360 after selling all of them .what is the number of apple he buyed and sold.
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #654095 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
a man bought some apple at the rate $5 per apple.
\n" ); document.write( "he also bought an equal number of banana s at the rate $2.
\n" ); document.write( "he sold the apple at a profit of 20% and the banana s at a loss of 5%
\n" ); document.write( " but still he made a overall profit of $360 after selling all of them .
\n" ); document.write( "what is the number of apple he bought and sold.
\n" ); document.write( ":
\n" ); document.write( "Apples, 20% profit; 1.2*5 = $6.00
\n" ); document.write( "Bananas, 10% loss: .9*2 = $1.80
\n" ); document.write( ":
\n" ); document.write( "let a = no. of apples sold
\n" ); document.write( "let b = no. of bananas
\n" ); document.write( "they sold equal numbers therefore
\n" ); document.write( "b = a
\n" ); document.write( ":
\n" ); document.write( "His cost = 5a + 2b
\n" ); document.write( "Total sales = 6a + 1.8b
\n" ); document.write( ":
\n" ); document.write( "Profit = Total sales - cost; ($360)
\n" ); document.write( "(6a+1.8b) - (5a+2b) = 360
\n" ); document.write( "6a - 5a + 1.8b - 2b = 360
\n" ); document.write( "a - .2b = 360
\n" ); document.write( "replace b with a
\n" ); document.write( "a - .2a = 360
\n" ); document.write( ".8a = 360
\n" ); document.write( "a = 360/.8
\n" ); document.write( "a = 450 apples
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works out, we know that he also sold 450 bananas
\n" ); document.write( "450(1) - .2(450) = $360
\n" ); document.write( " \n" ); document.write( "
\n" );