document.write( "Question 721508: I will like to know how i can solve the following word problem using two linear equations containing two unknowns.
\n" ); document.write( "Paul has 40 dimes and quarters worth $8.50. How many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #442384 by ajones305(5)\"\" \"About 
You can put this solution on YOUR website!
Start with these equations:
\n" ); document.write( "Let x=the #of quarters Let y=the number of dimes.
\n" ); document.write( "X+Y=40
\n" ); document.write( ".10X+.25Y=8.50
\n" ); document.write( "(The values are .10 and .25 because a dime is equivalent to .10 of a dollar and a quarter is .25 of a dollar)
\n" ); document.write( "Now, solve by substitution!
\n" ); document.write( "X+Y=40--->Y=40-X
\n" ); document.write( "Then, substitute the Y value into the other equation.
\n" ); document.write( ".10X+.25(40-X)=8.50
\n" ); document.write( ".10X+10-.25X=8.50
\n" ); document.write( "Combine Like Terms
\n" ); document.write( "10-0.15X=8.50
\n" ); document.write( "Bring the 10 over to the other side.
\n" ); document.write( "-0.15X=-2.50
\n" ); document.write( "Divide both sides by -0.15
\n" ); document.write( "Find your answer from there. I led you most of the way, now it is your turn to think. Good luck! If you still need help, email me. :)
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