document.write( "Question 1010918: In a collection box , there are dimes and quarters whose total value is $28. If there were as many quarters as there are dimes , and as many dimes as there are quarters , the total value would be $36.40. How many coins of each kind are in the collection box ? \n" ); document.write( "
Algebra.Com's Answer #626443 by ankor@dixie-net.com(22740)\"\" \"About 
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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( "In a collection box , there are dimes and quarters whose total value is $28.
\n" ); document.write( ".10d + .25q = 28.00
\n" ); document.write( ":
\n" ); document.write( " If there were as many quarters as there are dimes , and as many dimes as there are quarters , the total value would be $36.40.
\n" ); document.write( ".25d + .10q = 36.40
\n" ); document.write( "multiply by 2.5 and subtract the 1st equation
\n" ); document.write( ".625d + .25q = 91.00
\n" ); document.write( ".10d + .25q = 28.00
\n" ); document.write( "-----------------------subtraction eliminates q, find d
\n" ); document.write( ".525d + 0 = 63
\n" ); document.write( "d = 63/.525
\n" ); document.write( "d = 120 dimes
\n" ); document.write( ":
\n" ); document.write( "Use the 1st equation to find the no. of quarters
\n" ); document.write( ".10(120) + .25q = 28
\n" ); document.write( "12 + .25q = 28
\n" ); document.write( ".25q = 28 - 12
\n" ); document.write( ".25q = 16
\n" ); document.write( "q = 16/.25
\n" ); document.write( "q = 64 quarters
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Confirm this in the 2nd equation
\n" ); document.write( ".25(120) + .10(64) =
\n" ); document.write( "30.00 + 6.40 = 36.40\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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