document.write( "Question 1190231: Jordan has a total of two hundred sixty-four coins. She has three times as many quarters as dimes and one-half as many dimes as pennies. How much money does she have? \n" ); document.write( "
Algebra.Com's Answer #821835 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "d = number of dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number of quarters = 3*(number of dimes) \n" ); document.write( "number of quarters = 3d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "number of dimes = (1/2)*(number of pennies) \n" ); document.write( "number of pennies = 2*(number of dimes) \n" ); document.write( "number of pennies = 2*d\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The three coin counts add to 264 \n" ); document.write( "(dimes)+(quarters)+(pennies) = total \n" ); document.write( "(d)+(3d)+(2d) = 264 \n" ); document.write( "6d = 264 \n" ); document.write( "d = 264/6 \n" ); document.write( "d = 44 \n" ); document.write( "She has 44 dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, \n" ); document.write( "3d = 3*44 = 132 \n" ); document.write( "She has 132 quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And, \n" ); document.write( "2d = 2*44 = 88 \n" ); document.write( "she has 88 pennies.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check: \n" ); document.write( "88 pennies + 44 dimes + 132 quarters = 264 coins total \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The counts of each coin type, along with their respective value, is shown below
\n" ); document.write( "88 cents + 440 cents + 3300 cents = 3828 cents\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lastly, divide by 100 to convert from cents to dollars \n" ); document.write( "3828 cents = (3828/100) dollars \n" ); document.write( "3828 cents = 38.28 dollars\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jordan has 38.28 dollars worth of coins. \n" ); document.write( " \n" ); document.write( " |