document.write( "Question 185475: Solving Problems Using Linear Systems
\n" ); document.write( "3. The girls' soccer team held a fundraising car wash. They charged $5 for each car and $8 for each van. They washed 44 cars and vans and collected $262. How many of ach type of vehicle did they wash?
\n" ); document.write( "(answers are: 30 cars and 14 vans, but i dont know how to solve it?) \n" ); document.write( "

Algebra.Com's Answer #139140 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
The girls' soccer team held a fundraising car wash. They charged $5 for each car and $8 for each van. They washed 44 cars and vans and collected $262. How many of ach type of vehicle did they wash?
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\n" ); document.write( "Quantity Equation:
\n" ); document.write( "Quantity Equation: c + v = 44
\n" ); document.write( "Value EQuation...:5c +8v = 262
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\n" ); document.write( "Multiply thru the 1st equation by 5:
\n" ); document.write( "5c + 5v = 220
\n" ); document.write( "5c + 8v = 262
\n" ); document.write( "---------------
\n" ); document.write( "Subtract the 1st equation from the 2nd and solve for \"v\":
\n" ); document.write( "3v = 42
\n" ); document.write( "v = 14 (# of vans)
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\n" ); document.write( "Substitute into c+v = 44 to solve for \"c\":
\n" ); document.write( "c + 14 = 44
\n" ); document.write( "c = 30 (# of cars)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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