document.write( "Question 59758: PLEASE HELP ME WITH THIS. THE QUESTION IS \"A PERSON HAS 20 COINS IN NICKELS AND DIMES WITH A COMBINED VALUE OF $1.60. DETERMINE THE NUMBER OF COINS AND WHAT TYPE.\" WHAT FORMULA DO I USE TO SOLVE? \n" ); document.write( "
Algebra.Com's Answer #41022 by funmath(2933) ![]() You can put this solution on YOUR website! PLEASE HELP ME WITH THIS. THE QUESTION IS \"A PERSON HAS 20 COINS IN NICKELS AND DIMES WITH A COMBINED VALUE OF $1.60. DETERMINE THE NUMBER OF COINS AND WHAT TYPE.\" \n" ); document.write( "These are easier to solve in terms of cents to avoid decimals. \n" ); document.write( "Let the number of dimes be: x \n" ); document.write( "Then the amount of money we have in dimes is: 10x (in cents) \n" ); document.write( "The rest of the 20 coins are nickels: 20-x \n" ); document.write( "Then the amount of money in nickels is: 5(20-x) \n" ); document.write( "The total amount of money in cents is: 160 \n" ); document.write( "10x+5(20-x)=160 \n" ); document.write( "10x+100-5x=160 \n" ); document.write( "5x+100=160 \n" ); document.write( "5x+100-100=160-100 \n" ); document.write( "5x=60 \n" ); document.write( "5x/5=60/5 \n" ); document.write( "x=12 \n" ); document.write( "The number of dimes: x=12 \n" ); document.write( "The number of nickels: 20-x=20-12=8 \n" ); document.write( ": \n" ); document.write( "Check are 12 dimes and 8 nickels = to $1.60? \n" ); document.write( "12($.10)+8($.05)=$1.60 \n" ); document.write( "$1.20+$.40=$1.60 \n" ); document.write( "$1.60=$1.60 We're right! \n" ); document.write( "Happy Calculating!!! \n" ); document.write( " |