document.write( "Question 170680: A collection of nickels and quarters is worth $5.70. There are 46 coins in all. Write a system of equations and solve the system to find the number of each type of coin.
\n" ); document.write( "I really need help with this problem please.
\n" ); document.write( "Thanks Jason \n" ); document.write( "

Algebra.Com's Answer #125997 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( " $\"N%2BQ=46coins\"$ -----------------------------> EQN 1
\n" ); document.write( "Also, $\"0.05N%2B0.25Q=5.70\"$ ------------------> EQN 2
\n" ); document.write( "In EQN 1 we get,
\n" ); document.write( " $\"Q=46-N\"$ ----------------------------------> EQN 3
\n" ); document.write( "Subst. EQN 3 in EQN 2:
\n" ); document.write( " $\"0.05N%2B0.25%2846-N%29=5.70\"$
\n" ); document.write( " $\"0.05N%2B11.50-0.25N=5.70\"$
\n" ); document.write( " $\"11.50-5.70=0.25N-0.05N\"$
\n" ); document.write( " $\"5.80=0.20N\"$ ----> $\"cross%285.80%2929%2Fcross%280.20%29=cross%280.20%29N%2Fcross%280.20%29\"$
\n" ); document.write( " $\"highlight%28N=29%29\"$ , Number of Nickels
\n" ); document.write( "Fotr Quarters, go back EQN 3:
\n" ); document.write( " $\"Q=46-29=highlight%2817=Q%29\"$ , Number of Quarters
\n" ); document.write( "In doubt? Go back EQN 2:
\n" ); document.write( " $\"0.05%2829%29%2B0.25%2817%29=5.70\"$
\n" ); document.write( " $\"1.45%2B4.25=5.70\"$
\n" ); document.write( " $\"5.70=5.70\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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