document.write( "Question 177810: I am not sure how to do solve these problems. \r
\n" ); document.write( "\n" ); document.write( "*In a College Algebra class, the final exam is 20% of the course grade. If Greg's regular exam scores are 80, 64, 88, 92, and 85, what does he need to make on the final exam to make a B (80%) in the course?\r
\n" ); document.write( "\n" ); document.write( "*At fine restaurants, a 15% gratiuty is added to the check by the management. If your bill comes to $93.89, how much did the meal alone cost?\r
\n" ); document.write( "\n" ); document.write( "*At Bob's Fish House, small shrimp cost $4 per pound and large shrimp cost $6.50 per pound. A customer wishes to pay exactly $75 (before tax) for 15 pounds of a mixture of shrimp. How many pounds of large and small shrimp should Bob package for the customer?
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Algebra.Com's Answer #132794 by Mathtut(3670)\"\" \"About 
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*In a College Algebra class, the final exam is 20% of the course grade. If Greg's regular exam scores are 80, 64, 88, 92, and 85, what does he need to make on the final exam to make a B (80%) in the course?
\n" ); document.write( "*At fine restaurants, a 15% gratiuty is added to the check by the management. If your bill comes to $93.89, how much did the meal alone cost?
\n" ); document.write( "*At Bob's Fish House, small shrimp cost $4 per pound and large shrimp cost $6.50 per pound. A customer wishes to pay exactly $75 (before tax) for 15 pounds of a mixture of shrimp. How many pounds of large and small shrimp should Bob package for the customer?
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\n" ); document.write( "1)We must assume that the other test make up 80%(and are equally weighted) of the his overall score..since there is no homework or quizzes involved here
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\n" ); document.write( "so lets call x what he needs to score on the final exam
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\n" ); document.write( ".8((80+64+88+92+85)/5)+.2x=80
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\n" ); document.write( ".8(81.8)+.2x=80
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\n" ); document.write( "65.44+.2x=80
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\n" ); document.write( ".2x=14.56
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\n" ); document.write( "\"highlight%28x=72.8%29\"%,needs this score to get a B
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\n" ); document.write( "*At fine restaurants, a 15% gratiuty is added to the check by the management. If your bill comes to $93.89, how much did the meal alone cost?
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\n" ); document.write( "let x be the cost of the meal
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\n" ); document.write( "x+.15x=93.89
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\n" ); document.write( "1.15x=93.89
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\n" ); document.write( "\"highlight%28x=81.64%29\"dollars, cost of meal
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\n" ); document.write( "*At Bob's Fish House, small shrimp cost $4 per pound and large shrimp cost $6.50 per pound. A customer wishes to pay exactly $75 (before tax) for 15 pounds of a mixture of shrimp. How many pounds of large and small shrimp should Bob package for the customer?
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\n" ); document.write( "let x and y be the number of pounds of small and large shrimp respectively
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\n" ); document.write( "x+y=15.......eq 1
\n" ); document.write( "4x+6.5y=75...eq 2
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\n" ); document.write( "lets rewrite eq 1 to x=15-y and plug that value into eq 2
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\n" ); document.write( "4(15-y)+6.5y=75
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\n" ); document.write( "60-4y+6.5y=75
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\n" ); document.write( "2.5y=15
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\n" ); document.write( "\"highlight%28y=6%29\"pounds of large shrimp
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\n" ); document.write( "\"x=15-y=15-6=highlight%289%29\"pounds of small shrimp
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