document.write( "Question 1153556: Several friends decided to equally share the $525 cost of the set of cookware for a wedding gift. However, before the wedding, 6 more friends joined the others in giving the couple the cookwares. This lowered the contribution of each person by $10. How many friends originally agreed to share of the cost of the cookware? \n" ); document.write( "
Algebra.Com's Answer #775811 by VFBundy(438)![]() ![]() You can put this solution on YOUR website! Original number of friends = x \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "525(x+6) = x(10x+585) \n" ); document.write( " \n" ); document.write( "525x + 3150 = 10x² + 585x \n" ); document.write( " \n" ); document.write( "10x² + 60x - 3150 = 0 \n" ); document.write( " \n" ); document.write( "x² + 6x - 315 = 0 \n" ); document.write( " \n" ); document.write( "(x - 15)(x + 21) = 0 \n" ); document.write( " \n" ); document.write( "x = 15 and x = -21. Since x (the original number of friends) cannot be a negative number, this leaves us with x = 15. \n" ); document.write( " \n" ); document.write( "Original number of friends = x = 15 |