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)\"\" \"About 
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
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\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)
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\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
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