document.write( "Question 1017276: I need to write an equation to show what X and Y are and solve for X and Y\r
\n" ); document.write( "\n" ); document.write( "Question 1- \"A 110 point final exam is mad up of 50 questions. Some questions are worth 2 points and some are worth 4 points. How many of each type of question are on the test?\"\r
\n" ); document.write( "\n" ); document.write( "Question 2- \"One gym charges $40 per month and $3 per exercise class. Another gym charges $20 per month and $8 per exercise class. After how many exercise classes will the monthly cost be the same and what will that cost be?\"\r
\n" ); document.write( "\n" ); document.write( "Question 3- \"Martha went to the movies. She purchased some $14 movie tickets and some 412 movie tickets. She purchased a total of $9 tickets for $114. How many of each type of ticket did she buy?\"\r
\n" ); document.write( "\n" ); document.write( "Question 4(final)- \"A small soda costs $0.45 and a large soda costs $0.65. 35 sodas were sold for a total of $18.55. How many of each size soda were sold?\" \n" ); document.write( "
Algebra.Com's Answer #633585 by macston(5194)\"\" \"About 
You can put this solution on YOUR website!
Question 1- \"A 110 point final exam is made up of 50 questions. Some questions are worth 2 points and some are worth 4 points. How many of each type of question are on the test?\"
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\n" ); document.write( "T=number of 2 point questions; F=number of 4 point questions
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\n" ); document.write( "T+F=50
\n" ); document.write( "T=50-F . Use this to substitute for T below.
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\n" ); document.write( "2T+4F=110 . Substitute for T from above.
\n" ); document.write( "2(50-F)+4F=110
\n" ); document.write( "100-2F+4F=110
\n" ); document.write( "2F=10
\n" ); document.write( "F=5
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\n" ); document.write( "ANSWER 1: There were 5 four point questions.
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\n" ); document.write( "T=50-F=50-5=45
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\n" ); document.write( "ANSWER 2: There were 45 two point questions.
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\n" ); document.write( "CHECK:
\n" ); document.write( "2T+4F=110
\n" ); document.write( "2(45)+4(5)=110
\n" ); document.write( "90+20=110
\n" ); document.write( "110=110
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\n" ); document.write( "Question 2- \"One gym charges $40 per month and $3 per exercise class. Another gym charges $20 per month and $8 per exercise class. After how many exercise classes will the monthly cost be the same and what will that cost be?\"
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\n" ); document.write( "x=number of classes
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\n" ); document.write( "$40+$3x=$20+$8x
\n" ); document.write( "$20+$3x=$8x
\n" ); document.write( "$20=$5x
\n" ); document.write( "4=x
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\n" ); document.write( "ANSWER 1: The cost will be the same for 4 classes.
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\n" ); document.write( "$40+$3(4)=$40+$12=$52
\n" ); document.write( "ANSWER 2: The monthly cost for four classes from either gym is $52.
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\n" ); document.write( "CHECK:
\n" ); document.write( "$40+$3x=$20+$8x
\n" ); document.write( "$40+$3(4)=$20+$8(4)
\n" ); document.write( "$40+$12=$20+$32
\n" ); document.write( "$52=$52
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\n" ); document.write( "Question 3- \"Martha went to the movies. She purchased some $14 movie tickets and some $12 movie tickets. She purchased a total of 9 tickets for $114. How many of each type of ticket did she buy?\"
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\n" ); document.write( "T=$12 tickets; F=$14 tickets
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\n" ); document.write( "T+F=9
\n" ); document.write( "F=9-T
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\n" ); document.write( "$12T+$14F=$114
\n" ); document.write( "$12T+$14(9-T)=$114
\n" ); document.write( "$12T-$$126-$14T=$114
\n" ); document.write( "-$2T=-$12
\n" ); document.write( "T=6
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\n" ); document.write( "F=9-T=9-6=3
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\n" ); document.write( "ANSWER:She bought six $12 tickets and three $14 tickets.
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\n" ); document.write( "CHECK:
\n" ); document.write( "$12T+$14F=$114
\n" ); document.write( "$12(6)+$14(3)=$114
\n" ); document.write( "$72+$42=$114
\n" ); document.write( "$114=$114
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\n" ); document.write( "Question 4(final)- \"A small soda costs $0.45 and a large soda costs $0.65. 35 sodas were sold for a total of $18.55. How many of each size soda were sold?\"
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\n" ); document.write( "S=small sodas; L=large sodas
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\n" ); document.write( "S+L=35
\n" ); document.write( "S=35-L
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\n" ); document.write( "$0.45S+$0.65L=$18.55
\n" ); document.write( "$0.45(35-L)+$0.65L=$18.55
\n" ); document.write( "$15.75-$0.45L+$0.65L=$18.55
\n" ); document.write( "$0.20L=$2.80
\n" ); document.write( "L=14
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\n" ); document.write( "S=35-L=35-14=21
\n" ); document.write( "ANSWER: 14 large and 21 small sodas were sold.
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\n" ); document.write( "CHECK:
\n" ); document.write( "$0.45S+$0.65L=$18.55
\n" ); document.write( "$0.45(21)+$0.65(14)=$18.55
\n" ); document.write( "$9.45+$9.10=$18.55
\n" ); document.write( "$18.55=$18.55
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\n" ); document.write( "IN THE FUTURE, PLEASE LIMIT TO ONE QUESTION PER POST.\r
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