document.write( "Question 190684: this is the last question for my homework and i need help please....Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263. Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss?(the answer is not a scientific truth,only made up numbers!!!) thanks \n" ); document.write( "
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this is the last question for my homework and i need help please....Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263. Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss?(the answer is not a scientific truth,only made up numbers!!!) thanks
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\n" ); document.write( "Let c = carrot calories
\n" ); document.write( "and k = kiss calories
\n" ); document.write( ".
\n" ); document.write( "From: \"Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263.\" we get equation 1:
\n" ); document.write( "10c + 7k = 263
\n" ); document.write( ".
\n" ); document.write( "From: \"Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230.\" we get equation 2:
\n" ); document.write( "4c + 8k = 230
\n" ); document.write( ".
\n" ); document.write( "Solve equation 2 for 'c':
\n" ); document.write( "4c + 8k = 230
\n" ); document.write( "4c = 230 - 8k
\n" ); document.write( "c = 57.5 - 2k
\n" ); document.write( ".
\n" ); document.write( "Substitute the above into equation 1 and solve for k:
\n" ); document.write( "10c + 7k = 263
\n" ); document.write( "10(57.5 - 2k) + 7k = 263
\n" ); document.write( "575 - 20k + 7k = 263
\n" ); document.write( "575 - 27k = 263
\n" ); document.write( "-27k = -312
\n" ); document.write( "k = 11.56 calories
\n" ); document.write( ".
\n" ); document.write( "Substitute the above into equation 2 and solve for c:
\n" ); document.write( "4c + 8k = 230
\n" ); document.write( "4c + 8(11.56) = 230
\n" ); document.write( "4c + 92.48 = 230
\n" ); document.write( "4c = 137.52
\n" ); document.write( "c = 34.38 calories
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