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Pasha has a box with 40 coins consisting of dimes, quarters, and nickels that are worth $5.25.
\n" ); document.write( " There are 5 more nickels than quarters.
\n" ); document.write( " How many of each coin does she have?
\n" ); document.write( " So far I've got this down on my paper: d+q+n=40 and 10d+25q+5(q+5)=525.
\n" ); document.write( ":
\n" ); document.write( "Replace n with (q+5) in the 1st equation also
\n" ); document.write( "d + q + (q+5) = 40
\n" ); document.write( "Combine like terms, subtract 5 from each side and you have
\n" ); document.write( "d + 2q = 35
\n" ); document.write( "d = (35-2q); we can use the form for substitution
\n" ); document.write( ":
\n" ); document.write( "10d+25q+5(q+5)=525.
\n" ); document.write( "multiply what's inside the brackets
\n" ); document.write( "10d + 25q + 5q + 25 = 525
\n" ); document.write( "Combine like terms, subtract 25 from both sides and you have
\n" ); document.write( "10d + 30q = 500
\n" ); document.write( "substitute (35-2q) for d
\n" ); document.write( "10(35-2q) + 30q = 500
\n" ); document.write( "350 - 20q + 30q = 500
\n" ); document.write( "10q = 500 - 350
\n" ); document.write( "10q = 150
\n" ); document.write( "q = 150/10
\n" ); document.write( "q = 15 quarters
\n" ); document.write( "then find n
\n" ); document.write( "n = 15 + 5
\n" ); document.write( "n = 20 nickels
\n" ); document.write( "find d
\n" ); document.write( "d + 15 + 20 = 40
\n" ); document.write( "d = 40 - 35
\n" ); document.write( "d = 5 dimes
\n" ); document.write( ":\
\n" ); document.write( ":
\n" ); document.write( "Check this
\n" ); document.write( "5(20) + 10(5) + 25(15) =
\n" ); document.write( "100 + 50 + 375 = 525 \n" ); document.write( "