document.write( "Question 831384: A shopkeeper buys a crate of eggs at $1.50 per dozen. he buys another crate, containing 3 dozen more than the first crate, at $2.00 per dozen. He sells them all for $2.50 a dozen and makes $15 profit. How many dozens were there in each of the crates? \n" ); document.write( "
Algebra.Com's Answer #501291 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
A shopkeeper buys a crate of eggs at $1.50 per dozen. he buys another crate, containing 3 dozen more than the first crate, at $2.00 per dozen. He sells them all for $2.50 a dozen and makes $15 profit. How many dozens were there in each of the crates?\r
\n" ); document.write( "\n" ); document.write( "let the eggs be x dozens
\n" ); document.write( "cost of eggs = 1.5x\r
\n" ); document.write( "\n" ); document.write( "Crate II.
\n" ); document.write( "x+3 dozens
\n" ); document.write( "cost = 2*(x+3)\r
\n" ); document.write( "\n" ); document.write( "Cost of eggs = 1.5x+2(x+3)
\n" ); document.write( "= 1.5x+2x+6
\n" ); document.write( "=3.5x+6\r
\n" ); document.write( "\n" ); document.write( "Number of eggs = x+(x+3)\r
\n" ); document.write( "\n" ); document.write( "sold for 2.50\r
\n" ); document.write( "\n" ); document.write( "Sales = 2.50(2x+3)
\n" ); document.write( "=5x+7.5\r
\n" ); document.write( "\n" ); document.write( "Sales - cost = 15\r
\n" ); document.write( "\n" ); document.write( "2.50(2x+3)-1.5x+2(x+3)=15\r
\n" ); document.write( "\n" ); document.write( "5x+7.50-3.5x-6=15\r
\n" ); document.write( "\n" ); document.write( "1.5x=13.5
\n" ); document.write( "x=9\r
\n" ); document.write( "\n" ); document.write( "Crate I--- 9 dozens
\n" ); document.write( "Crate II---- 12 dozens\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );