document.write( "Question 419693: Hi tutor, i have a booklet due tomorrow for school and i really need too get 100 percent on it too get into math 10-1 for highschool. I managed too do all the questions except for this one, it is really difficult. Help would be greatly appreciated, please and thank-you. Q : A certain number of nickels, two more dimes than nickels and two more quarters than dimes is worth $1.60. Find how many of each kind there are. Its supposed to be an alebra question. I need too set up and equation, show my work and provide a table for full marks. This question is just so hard, i really need the help please & thanks. For the table i managed too put it like this. Nickels, dimes & quarters, & value, number and amount. Please help me out thank you so much god bless you. \n" ); document.write( "
Algebra.Com's Answer #293435 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A certain number of nickels, two more dimes than nickels and two more quarters than dimes is worth $1.60. \n" ); document.write( " Find how many of each kind there are \n" ); document.write( ": \n" ); document.write( "Let n = no. of nickels \n" ); document.write( "Let d = no. of dimes \n" ); document.write( "Let q = no. of quarters \n" ); document.write( ": \n" ); document.write( "Write an equation for each phrase \n" ); document.write( ": \n" ); document.write( " \"two more dimes than nickels\" \n" ); document.write( "d = n + 2 \n" ); document.write( "or \n" ); document.write( "n = d - 2 \n" ); document.write( ": \n" ); document.write( "\"and two more quarters than dimes\" \n" ); document.write( "q = d + 2 \n" ); document.write( ": \n" ); document.write( "\"is worth $1.60.\" \n" ); document.write( ".05n + .10d + .25q = 1.60 \n" ); document.write( ": \n" ); document.write( "In the above equation; replace n with (d-2), replace q with (d+2), find d \n" ); document.write( ".05(d-2) + .10d + .25(d+2) = 1.60 \n" ); document.write( ".05d - .10 + .10d + .25d + .5 = 1.60 \n" ); document.write( "Combine like terms \n" ); document.write( ".05d + .10d + .25d - .10 + .50 = 1.60 \n" ); document.write( ".40d + .40 = 1.60 \n" ); document.write( ".40d = 1.60 - .40 \n" ); document.write( ".4d = 1.20 \n" ); document.write( "d = 1.20/.4 \n" ); document.write( "d = 3 dimes \n" ); document.write( ": \n" ); document.write( "I'll let you find the nickels and quarters from the other equations and set up your table \n" ); document.write( " |