document.write( "Question 1008282: Hello. I have an word ptroblem that needs to be solved and I am using the addition and subtraction metheod but I am confused about the wording. I have a hard time with word problems. Can you help me?
\n" ); document.write( "The problem:
\n" ); document.write( "A gondola conductor charges $2 per yodeler and $1 per xylophone. It cost $40 for the entire club includiong xylophones to ride the gondola. 2 yodelers can share a xylophone, so the number of yodelers on the gondola is twice the number of xylophones. How many yodelers and xylophones are on the gondola? I wrote it as:
\n" ); document.write( "x= xylophones
\n" ); document.write( "y= yodelers
\n" ); document.write( "so x+2y=$40 but how do I use the subtraction/addition method if I have no equation to add or subtract to? Here is where I am stumped.
\n" ); document.write( "

Algebra.Com's Answer #624016 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A gondola conductor charges $2 per yodeler and $1 per xylophone. It cost $40 for the entire club including xylophones to ride the gondola. 2 yodelers can share a xylophone, so the number of yodelers on the gondola is twice the number of xylophoners. How many yodelers and xylophoners are on the gondola?
\n" ); document.write( "I wrote it as:
\n" ); document.write( "x= xylophoners
\n" ); document.write( "y= yodelers
\n" ); document.write( "-----------
\n" ); document.write( "Equations:\r
\n" ); document.write( "\n" ); document.write( "Quantity Equation::y = 2x
\n" ); document.write( "Value Equation:: x+2y = 40 dollars
\n" ); document.write( "====
\n" ); document.write( "Rearrange to use the subtraction/addition method
\n" ); document.write( "2x - y = 0
\n" ); document.write( "x + 2y = 40
\n" ); document.write( "------
\n" ); document.write( "Modify::
\n" ); document.write( "2x - y = 0
\n" ); document.write( "2x + 4y = 80
\n" ); document.write( "----------------
\n" ); document.write( "Subtract and solve for \"y\":
\n" ); document.write( "5y = 80
\n" ); document.write( "y = 16 (# of yodelers)
\n" ); document.write( "----
\n" ); document.write( "Solve for \"x\"::
\n" ); document.write( "x = 2y
\n" ); document.write( "x = 32 (# of xylophoners)
\n" ); document.write( "----
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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