document.write( "Question 1018942: Ari has been paying attention to the number of calories she burns while exercising. One day she spent three hours hiking and four hours canoeing, and she calculated that she burned 2 338 calories. The next day, she hiked for seven hours and canoed for one hour, and she calculated that she burned 3 322 calories. How many calories per hour does Ari burn doing each exercise? \n" ); document.write( "

Algebra.Com's Answer #634994 by Cromlix(4381) $\"\"$ $\"About$

You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "Make hiking = x
\n" ); document.write( "Canoeing = y
\n" ); document.write( "3x + 4y = 2338.....(1)
\n" ); document.write( "7x + y = 3322......(2)
\n" ); document.write( "Multiply (2) by 4
\n" ); document.write( "3x + 4y = 2338.....(1)
\n" ); document.write( "28x + 4y = 13288......(2)
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "25x = 10950
\n" ); document.write( "x = 10950/25
\n" ); document.write( "x = 438
\n" ); document.write( "Substitute x = 438 into (1)
\n" ); document.write( "3x + 4y = 2338.....(1)
\n" ); document.write( "3(438) + 4y = 2338
\n" ); document.write( "1314 + 4y = 2338
\n" ); document.write( "4y = 2338 - 1314
\n" ); document.write( "4y = 1024
\n" ); document.write( "y = 256
\n" ); document.write( "Hiking = 438 calories
\n" ); document.write( "Canoeing = 256 calories.
\n" ); document.write( "Hope this helps :-) \n" ); document.write( "

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