document.write( "Question 852011: You have a total of 23 nickels and dimes. The total amount you have is $1.95. How many of the coins are nickels and how many are dimes? \n" ); document.write( "
Algebra.Com's Answer #513065 by Seutip(231)![]() ![]() You can put this solution on YOUR website! I really researched your currencies, I'm not familiar with it.\r \n" ); document.write( "\n" ); document.write( "Since a dime is worth 10 cents or $.10 \n" ); document.write( "and a nickel is 5 cents or $.05\r \n" ); document.write( "\n" ); document.write( "$1.95 is equal to 195 cents right?\r \n" ); document.write( "\n" ); document.write( "So Let; \n" ); document.write( "d - number of dimes \n" ); document.write( "n - number of nickel\r \n" ); document.write( "\n" ); document.write( "(1) d+n=23 this is our first equation \n" ); document.write( "(2) 10d+5n=195 this is our second equation since the value of dime is 10 and nickel is 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------- \n" ); document.write( "Multiply both sides of (1) by 10 and subtract (1) from (2) (We use 10 in order to get rid of d) \n" ); document.write( "------------- \n" ); document.write( "(2) 10d+ 5n=195 \n" ); document.write( "(1) 10d+10n=230\r \n" ); document.write( "\n" ); document.write( "Subtract (1) from (2) \n" ); document.write( "(2) 10d+ 5n=195 \n" ); document.write( "(1)- 10d+10n=230 \n" ); document.write( "This is equal to \n" ); document.write( " -5n=-35 \n" ); document.write( " n=7\r \n" ); document.write( "\n" ); document.write( "Since n=7,\r \n" ); document.write( "\n" ); document.write( "(1) d+n = 23 \n" ); document.write( "(1) d+7 = 23 \n" ); document.write( "It follows that, \n" ); document.write( "(1) d=16\r \n" ); document.write( "\n" ); document.write( "It means there are 7 nickels and 16 dimes!\r \n" ); document.write( "\n" ); document.write( "Try to solve it if you get 195 in (2)\r \n" ); document.write( "\n" ); document.write( "(2) 10d+5n=195 Substitute \n" ); document.write( "(2) 10(16)+5(7)=195 \n" ); document.write( "(2) 160+35=195\r \n" ); document.write( "\n" ); document.write( "Super okay!\r \n" ); document.write( "\n" ); document.write( "Hope that helps!! \n" ); document.write( "Follow me on twitter and instagram Pretty please?! @seutip \n" ); document.write( " \n" ); document.write( " |