document.write( "Question 1050150: Sally has 3 more nickels than quarters. The total value of these coins is $2.85. How many of each coin does sally have? \n" ); document.write( "

Algebra.Com's Answer #665742 by advanced_Learner(501) $\"\"$ $\"About$

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N\r
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\n" ); document.write( "\n" ); document.write( "N=Q+3\r
\n" ); document.write( "\n" ); document.write( "5N+25Q=285\r
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\n" ); document.write( "\n" ); document.write( "N-Q=3
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Solved by pluggable solver: SOLVE linear system by SUBSTITUTION

Solve:
\n" ); document.write( " $\"+system%28+%0D%0A++++5%5CN+%2B+25%5CQ+=+285%2C%0D%0A++++1%5CN+%2B+-1%5CQ+=+3+%29%0D%0A++\"$ We'll use substitution. After moving 25*Q to the right, we get:
\n" ); document.write( " $\"5%2AN+=+285+-+25%2AQ\"$ , or $\"N+=+285%2F5+-+25%2AQ%2F5\"$ . Substitute that
\n" ); document.write( " into another equation:
\n" ); document.write( " $\"1%2A%28285%2F5+-+25%2AQ%2F5%29+%2B+-1%5CQ+=+3\"$ and simplify: So, we know that Q=9. Since $\"N+=+285%2F5+-+25%2AQ%2F5\"$ , N=12.
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\n" ); document.write( " Answer: $\"system%28+N=12%2C+Q=9+%29\"$ .
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