document.write( "Question 501491: Jane has a collection of 175 coins in her piggybank valued at $44.25 if she has 30 less dimes than Nicolas and 10 morehalf dollars than nickels , how many coins of each type ate in jane's piggybank? \n" ); document.write( "
Algebra.Com's Answer #338547 by oberobic(2304) ![]() You can put this solution on YOUR website! With money problems you have to keep track of the number of coins and their values. \n" ); document.write( ". \n" ); document.write( "For example, \n" ); document.write( "d = number of dimes \n" ); document.write( "10d = value of the dimes in cents \n" ); document.write( "n = number of nickels \n" ); document.write( "5d = value of the nickels in cents \n" ); document.write( "h = number of half dollars \n" ); document.write( "50h = value of the half dollars in cents \n" ); document.write( ". \n" ); document.write( "n + d + h = 175 coins \n" ); document.write( "5n + 10d + 50h = 4425 cents \n" ); document.write( ". \n" ); document.write( "d = n - 30 \n" ); document.write( "h = n + 10 \n" ); document.write( ". \n" ); document.write( "substitute \n" ); document.write( ". \n" ); document.write( "n + n-30 + n+10 = 175 \n" ); document.write( "3n -20 = 175 \n" ); document.write( "3n = 195 \n" ); document.write( "n = 65 \n" ); document.write( ". \n" ); document.write( "d = n-30 \n" ); document.write( "d = 65 -30 \n" ); document.write( "d = 35 \n" ); document.write( ". \n" ); document.write( "h = n +10 \n" ); document.write( "h = 65 +10 \n" ); document.write( "h = 75 \n" ); document.write( ". \n" ); document.write( "Always check your work. \n" ); document.write( "In this case, what is the value of the coins? \n" ); document.write( "5(65) = 325 cents \n" ); document.write( "10(35) = 350 cents \n" ); document.write( "50(75) = 3750 cents \n" ); document.write( "325+350+3750= 4425 cents \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: Jane has 65 nickels, 35 dimes, and 75 half dollars. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |