document.write( "Question 998916: Tom orders 15 shirts and 10 sweatshirts collecting 300. Jan orders 3 shirts and 5 sweatshirts collecting 105. How much do the shirt and sweatshirt cost? \n" ); document.write( "

Algebra.Com's Answer #616989 by Cromlix(4381) $\"\"$ $\"About$

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Hi there,
\n" ); document.write( "Make shirt = x
\n" ); document.write( "sweatshirt = y
\n" ); document.write( "15x + 10y = 300....(1)
\n" ); document.write( "3x + 5y = 105......(2)
\n" ); document.write( "Multiply Equation (2) by 2
\n" ); document.write( "15x + 10y = 300....(1)
\n" ); document.write( "6x + 10y = 210.....(2)
\n" ); document.write( "Subtract (2) from (1)
\n" ); document.write( "9x = 90
\n" ); document.write( "x = 10
\n" ); document.write( "Substitute x = 10 into Equation (2)
\n" ); document.write( "3x + 5y = 105
\n" ); document.write( "3(10) + 5y = 105
\n" ); document.write( "30 + 5y = 105
\n" ); document.write( "5y = 105 - 30
\n" ); document.write( "5y = 75
\n" ); document.write( "y = 15.
\n" ); document.write( "Shirt costs 10
\n" ); document.write( "Sweatshirt costs 15
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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