document.write( "Question 160907This question is from textbook Algebra 1
\n" ); document.write( ": There is a collection of 54 nickels and dimes worth $3.80. How many nickels do you have? \n" ); document.write( "

Algebra.Com's Answer #118862 by jojo14344(1513) $\"\"$ $\"About$

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\n" ); document.write( " $\"D%2BN=54coins\"$ -----------------------> EQN 1
\n" ); document.write( "In EQN 1 we get,
\n" ); document.write( " $\"D=54-N\"$ ----------------------------> EQN 2
\n" ); document.write( "Also,
\n" ); document.write( " $\"0.10D%2B0.05N=3.80\"$ ------------------> EQN 3
\n" ); document.write( "Subst. EQN 2 in EQN 3:
\n" ); document.write( " $\"0.10%2854-N%29%2B0.05N=3.80\"$
\n" ); document.write( " $\"5.4-0.10N%2B0.05N=3.80\"$
\n" ); document.write( " $\"5.4-3.80=0.10N-0.05N\"$
\n" ); document.write( " $\"1.60=0.05N\"$ ------> $\"cross%281.60%2932%2Fcross%280.05%29=cross%280.05%29N%2Fcross%280.05%29\"$
\n" ); document.write( " $\"N=32coins\"$ number of Nickels (ANSWER)
\n" ); document.write( "For D, via EQN 2:
\n" ); document.write( " $\"D=54-32=22coins\"$ number of Dimes
\n" ); document.write( "Check via EQN 3:
\n" ); document.write( " $\"0.10%2822%29%2B0.05%2832%29=3.80\"$
\n" ); document.write( " $\"2.2%2B1.60=3.80\"$
\n" ); document.write( " $\"3.80=3.80\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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