document.write( "Question 991024: Each coin in the collection of 56 coins is neither silver or gold. The number of silver coins is 8 more than 3 times the number of gold coins. Find the number of gold coins. \n" ); document.write( "
Algebra.Com's Answer #610986 by colliefan(242)![]() ![]() ![]() You can put this solution on YOUR website! The number of gold coins plus silver coins equals 56. \n" ); document.write( "Let's call the number of gold coins x. \n" ); document.write( "Since the number of silver is 8 more than 3 times the number of gold, we could write it as 8+3X or 3x+8. \n" ); document.write( "Putting these ways of representing gold and silver coins into the first equation gives: \n" ); document.write( "gold + silver =56 \n" ); document.write( "x + (3x+8) = 56 \n" ); document.write( "x +3x +8 =56 \n" ); document.write( "4x +8 = 56 \n" ); document.write( "4x+8-8=56-8 \n" ); document.write( "4x+0=48 \n" ); document.write( "4x=48 \n" ); document.write( "4x/4=48/4 \n" ); document.write( "x=12\r \n" ); document.write( "\n" ); document.write( "So the number of gold coins is 12. \n" ); document.write( "Silver must be 3(12)+8 = 36+8 = 44.\r \n" ); document.write( "\n" ); document.write( "Plug these number in to check your work. \n" ); document.write( "gold+silver=56 \n" ); document.write( "12+44 does equal 56. \n" ); document.write( " |