document.write( "Question 631701: A man made a deposit of $106. If the deposit consisted of 42 coins some are 1 dollar and the rest is 5 dollar.How many coins of each kind did he have ? \n" ); document.write( "
Algebra.Com's Answer #397762 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = number of 1 dollar bills \n" ); document.write( "y = number of 5 dollar bills \n" ); document.write( "x + y = 42 (total number of bills) \n" ); document.write( "x + 5y = 106 (total money) \n" ); document.write( "from the first equation, you can solve for x to get x = 42 - y \n" ); document.write( "substitute for s in the second equation to get: \n" ); document.write( "x + 5y = 106 becomes 42 - y + 5y = 106 \n" ); document.write( "combine like terms to get: \n" ); document.write( "42 + 4y = 106 \n" ); document.write( "subtract 42 from both sides of this equation to get: \n" ); document.write( "4y = 106 - 42 which becomes 4y = 64 \n" ); document.write( "divide both sides of this equation by 4 to get y = 64/4 = 16 \n" ); document.write( "since x + y = 42, this means that x = 42 - 16 which is equal to 26. \n" ); document.write( "you have x = 26 and y = 16 \n" ); document.write( "1 * x = 26 dollars \n" ); document.write( "5 * y = 5 * 16 = 80 dollars \n" ); document.write( "80 dollars plus 26 dollars is equal to 106 dollars \n" ); document.write( "you're good. \n" ); document.write( "x = 26 and y = 16 is your answer.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |