document.write( "Question 629105: 1. Mary has $2.25 in coins. She has the same number of quarters as dimes. She has half as many as nickels as quarters. How many of each coin does she have?\r
\n" ); document.write( "\n" ); document.write( "2. Sue has twice as many quarters as nickels and half as many dimes as nickels. If she has a total of $4.80, how many of each coin does she have? \n" ); document.write( "
Algebra.Com's Answer #396254 by ankor@dixie-net.com(22740)\"\" \"About 
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Mary has $2.25 in coins. She has the same number of quarters as dimes.
\n" ); document.write( " She has half as many as nickels as quarters
\n" ); document.write( "How many of each coin does she have?
\n" ); document.write( "let n = no. nickels
\n" ); document.write( "let d = no. dimes
\n" ); document.write( "let q = no. quarters
\n" ); document.write( ";
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\"Mary has $2.25 in coins.\"
\n" ); document.write( ".05n + .10d + .25q = 2.25
\n" ); document.write( ":
\n" ); document.write( "\"She has the same number of quarters as dimes.'
\n" ); document.write( "q = d
\n" ); document.write( ":
\n" ); document.write( "\"She has half as many as nickels as quarters\"
\n" ); document.write( "n = .5q
\n" ); document.write( ":
\n" ); document.write( "In the first equation, replace n with .5q; replace d with q
\n" ); document.write( ".05(.5q) + .10q + .25q = 2.25
\n" ); document.write( ".025q + .10q + .25q = 2.25
\n" ); document.write( ".375q = 2.25
\n" ); document.write( "q = 2.25/.375
\n" ); document.write( "q = 6 quarter
\n" ); document.write( "then
\n" ); document.write( "d = 6 dimes
\n" ); document.write( "and
\n" ); document.write( "n = 3 nickels
\n" ); document.write( ":
\n" ); document.write( "Check .05(3) + .10(6) + .25(6) = 2.25
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\n" ); document.write( "2. \"Sue has twice as many quarters as nickels\"
\n" ); document.write( "q = 2n
\n" ); document.write( "\"and half as many dimes as nickels.\"
\n" ); document.write( "d = .5n
\n" ); document.write( "\"If she has a total of $4.80,\"
\n" ); document.write( ".05n + .10d + .25q = 4.80
\n" ); document.write( "Replace d and q
\n" ); document.write( ".05n + .10(.5n) + .25(2n) = 4.80
\n" ); document.write( ".05n + .05n + .50n = 4.80
\n" ); document.write( ".60n = 4.80
\n" ); document.write( "n = 4.80/.60
\n" ); document.write( "n = 8 nickels
\n" ); document.write( "then
\n" ); document.write( "d = 4 dimes
\n" ); document.write( "and
\n" ); document.write( "q = 16 quarters
\n" ); document.write( ":
\n" ); document.write( "You can check the total$ with these solutions
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