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) ![]() 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( " \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( " \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( " \n" ); document.write( " \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( " \n" ); document.write( "Multiply and Solve \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \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( " \n" ); document.write( "Your final answer: \n" ); document.write( "8 quarters and 32 nickels \n" ); document.write( "Hope this helps! \n" ); document.write( " |