document.write( "Question 320100: At Halloween party, Fancy is throwing darts at jack-o-lanterns and witches. She gets 5 points for every jack-o-lantern she hits and 8 points for every witch. She has hit 13 jack-olanterns and witches altogether and has 80 points. How many jack-o-lanterns and how many witches has she hit? \n" ); document.write( "

Algebra.Com's Answer #229233 by stanbon(75887) $\"\"$ $\"About$

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At Halloween party, Fancy is throwing darts at jack-o-lanterns and witches. She gets 5 points for every jack-o-lantern she hits and 8 points for every witch. She has hit 13 jack-olanterns and witches altogether and has 80 points. How many jack-o-lanterns and how many witches has she hit?
\n" ); document.write( "---
\n" ); document.write( "Hit Equation: j + w = 13
\n" ); document.write( "Points Equat:5j +8w = 80
\n" ); document.write( "-----------------------------
\n" ); document.write( "Multiply thru 1st Eq. by 5:
\n" ); document.write( "5j + 5w = 5*13
\n" ); document.write( "5j + 8w = 80
\n" ); document.write( "---------------------
\n" ); document.write( "Subtract 1st from end and solve for \"w\":
\n" ); document.write( "3w = 80-5*13
\n" ); document.write( "3w = 15
\n" ); document.write( "w = 5 (# of witches hit)
\n" ); document.write( "---
\n" ); document.write( "Since j+w = 13, w = 8 (# of jacko's hit)
\n" ); document.write( "=============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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