document.write( "Question 647427: There are 136 coins in the cash box. There are an equal number of silver dollars and quarters. There are half as many dimes as quarters and one third as many nickels. How much is in the cash box? \n" ); document.write( "
Algebra.Com's Answer #406266 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! There are 136 coins in the cash box. \n" ); document.write( " There are an equal number of silver dollars and quarters. \n" ); document.write( " There are half as many dimes as quarters and one third as many nickels. \n" ); document.write( " How much is in the cash box? \n" ); document.write( ": \n" ); document.write( "n + d + q + c = 136 (c = no. of silver dollars) \n" ); document.write( ": \n" ); document.write( "\"There are an equal number of silver dollars and quarters.\" \n" ); document.write( "q = c \n" ); document.write( ": \n" ); document.write( "\" There are half as many dimes as quarters\" \n" ); document.write( "d = \n" ); document.write( "or \n" ); document.write( "q = 2d \n" ); document.write( ": \n" ); document.write( "\"and one third as many nickels.\" \n" ); document.write( "d = \n" ); document.write( "or \n" ); document.write( "n = 3d \n" ); document.write( ": \n" ); document.write( "n + d + q + c = 136 \n" ); document.write( "replace n with 3d, q with 2d, c with 2d \n" ); document.write( "3d + d + 2d + 2d = 136 \n" ); document.write( "8d = 136 \n" ); document.write( "d = 136/8 \n" ); document.write( "d = 17 dimes \n" ); document.write( "then \n" ); document.write( "n = 3(17) = 51 nickels \n" ); document.write( "and \n" ); document.write( "q = 2(17) = 34 quarters \n" ); document.write( "and \n" ); document.write( "c = 2(17) = 34 dollars \n" ); document.write( ": \n" ); document.write( ".05(51) + .10(17) + .25(34) + 1(34) = \n" ); document.write( "2.55 + 1.70 + 8.50 + 34 = $46.75 in the cash box\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |