![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
Find the value of the change in a purse
\n" ); document.write( "Let
\n" ); document.write( "p = no. of pennies
\n" ); document.write( "n = no. of nickels
\n" ); document.write( "d = no. of dimes
\n" ); document.write( "q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement:
\n" ); document.write( ":
\n" ); document.write( "\"that contains 4 times as many nickels as pennies,\"
\n" ); document.write( " n = 4p
\n" ); document.write( ":
\n" ); document.write( "\"2 more dimes than nickels,\"
\n" ); document.write( " d = n + 2
\n" ); document.write( ":
\n" ); document.write( "\"and 5 more quarters than dimes and nickels combined.\"
\n" ); document.write( " q = d + n + 5
\n" ); document.write( ":
\n" ); document.write( " Express your answer in terms of p, the number of pennies.
\n" ); document.write( ":
\n" ); document.write( "Using above equations:
\n" ); document.write( ":
\n" ); document.write( "d = n + 2
\n" ); document.write( "d = 4p + 2; substitute 4p for n
\n" ); document.write( ":
\n" ); document.write( "q = d + n + 5
\n" ); document.write( "q = (4p+2) + 4p + 5; substituted (4p+2) for d and 4p for n
\n" ); document.write( "q = 8p + 7
\n" ); document.write( ":
\n" ); document.write( "Find the value of:
\n" ); document.write( "pennies + nickels + dimes + quarters =
\n" ); document.write( ".01p + .05(4p) + .10(4p+2) + .25(8p+7) =
\n" ); document.write( ":
\n" ); document.write( "Get rid of all those decimals multiply equation by 100
\n" ); document.write( "p + 5(4p) + 10(4p+2) + 25(8p+7) =
\n" ); document.write( ":
\n" ); document.write( "p + 20p + 40p + 20 + 200p + 175 = 261p + 195 is the value (in cents)
\n" ); document.write( ":
\n" ); document.write( "I think the method is right, but a a lot of chance for math errors here,
\n" ); document.write( "Check my work carefully. \n" ); document.write( "