document.write( "Question 70354: You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different numbers of coins in your drawer. \n" ); document.write( "
Algebra.Com's Answer #50207 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! You have at least $30 in change in your drawer,\r\n" ); document.write( "consisting of dimes and quarters. Write an \r\n" ); document.write( "inequality that shows the different numbers of \r\n" ); document.write( "coins in your drawer.\r\n" ); document.write( "\r\n" ); document.write( "Let D = the number of dimes.\r\n" ); document.write( "1 dime is worth $.10, so\r\n" ); document.write( "D dimes are worth $.10D\r\n" ); document.write( "\r\n" ); document.write( "Let Q = the number of qyuraters.\r\n" ); document.write( "1 quarter is worth $.25, so\r\n" ); document.write( "Q dimes are worth $.25D\r\n" ); document.write( "\r\n" ); document.write( "The worth of the Dimes + The worth of the \r\n" ); document.write( "quarters is at least $30\r\n" ); document.write( "\r\n" ); document.write( "$.10D + $.25Q is at least $30, \r\n" ); document.write( "which means it is either $30 or more than $30\r\n" ); document.write( "\r\n" ); document.write( ".10D + .25Q > 30\r\n" ); document.write( "\r\n" ); document.write( "Your teacher may accept this answer. If not,\r\n" ); document.write( "get rid of decimals:\r\n" ); document.write( "\r\n" ); document.write( " 10D + 25Q > 3000\r\n" ); document.write( "\r\n" ); document.write( "Then you can divide through by 5\r\n" ); document.write( "\r\n" ); document.write( " 2D + 5Q > 600\r\n" ); document.write( "\r\n" ); document.write( "The smallest number of coins you can have is\r\n" ); document.write( "when there are 5 dimes and 118 quarters, or\r\n" ); document.write( "123 coins, and there is no largest number of\r\n" ); document.write( "coins.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |