document.write( "Question 14566: bob has four times as many nickles as quarters. he has $3.60 total. how many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #7262 by Alwayscheerful(414)\"\" \"About 
You can put this solution on YOUR website!
Okay, for this question, you need two equations that you would solve with substitution or elimination.
\n" ); document.write( "The first equation we can derive from the first sentence.
\n" ); document.write( "\"4q=n\"
\n" ); document.write( "You can check that that equation is true by giving yourself an example. If you have 2 quarters, then you have 8 nickles. Plug it in. If it works, then it is true.
\n" ); document.write( "Your second equation should look like this.
\n" ); document.write( "\".05n%2B.25q=3.6\"
\n" ); document.write( "How did I get that?
\n" ); document.write( "A nickel is worth 5 cents, .05 of a dollar.
\n" ); document.write( "A quarter is worth 25 cents, .25 of a dollar.
\n" ); document.write( "They both add up to become $3.6
\n" ); document.write( "You don't have to have the dollar signs in your equation (unless you teacher states otherwise) because it just makes it messier.
\n" ); document.write( "Then you have your system of equations.
\n" ); document.write( "\"4q=n\"
\n" ); document.write( "\".05n%2B.25q=3.6\"
\n" ); document.write( "I would use substitution because it already has the n isolated
\n" ); document.write( "Just plug it in and solve.
\n" ); document.write( "\".05%284q%29%2B.25q=3.6\"
\n" ); document.write( "Multiply and Solve
\n" ); document.write( "\".2q%2B.25q=3.6\"
\n" ); document.write( "\".45q=3.6\"
\n" ); document.write( "\"q=8\"
\n" ); document.write( "Since you now know the number of quarters, you have 4 times as many nickels.
\n" ); document.write( "The number of nickels would then be 32
\n" ); document.write( "You can check by multiplying.
\n" ); document.write( "8 quarters = $2
\n" ); document.write( "32 nickels = $1.60
\n" ); document.write( "\"%242%2B%241.6=%243.60\"
\n" ); document.write( "Your final answer:
\n" ); document.write( "8 quarters and 32 nickels
\n" ); document.write( "Hope this helps!
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