document.write( "Question 961155: since my eng not good ,I have try to work this math lab question on my own. I need some help, Please let me if I did it correctly or need to fix it. \r
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\n" ); document.write( "\n" ); document.write( "Question:
\n" ); document.write( "The school raised $1518.75 by charging an adult $3.75 and a student $2.50.
\n" ); document.write( "The total attendance was 520. How many adult and how many students attended?\r
\n" ); document.write( "\n" ); document.write( "a. write a linear system to model this situation.
\n" ); document.write( "b. express each equation in slope-interccept form and graph each line.
\n" ); document.write( "c. determine this coordinates of the point of intersection of the line.
\n" ); document.write( "d. how to verify the solution in step C by using tables of values?
\n" ); document.write( "e. verify your solution by using the data in the given problem.
\n" ); document.write( "f. how can you use your results to determine the number of adults and the number of student who attended the carnival ? \r
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\n" ); document.write( "\n" ); document.write( "my ans:\r
\n" ); document.write( "\n" ); document.write( "a)
\n" ); document.write( " x= # of adult
\n" ); document.write( "y=# of student\r
\n" ); document.write( "\n" ); document.write( "x+y=520
\n" ); document.write( "3.75x+2.50y=1518.75\r
\n" ); document.write( "\n" ); document.write( "b)
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "x+y=520
\n" ); document.write( "y=520-x\r
\n" ); document.write( "\n" ); document.write( "3.75x+2.50y=1518.75
\n" ); document.write( "2.50y=-3.75x+1518.75
\n" ); document.write( "y=-3.75/2.50x +1518.75/2.50
\n" ); document.write( "y=1.5x +607.5 ***( it's correct if is not whole number ?) I couldn't graph this ***
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Algebra.Com's Answer #587412 by rothauserc(4718)\"\" \"About 
You can put this solution on YOUR website!
your calculations are correct except for the last value for y
\n" ); document.write( "y = 1.5x +607.5
\n" ); document.write( "should be
\n" ); document.write( "y = -1.5x +607.5
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\n" ); document.write( "now graph the two equations
\n" ); document.write( "y = 520 -x
\n" ); document.write( "y = -1.5x +607.5
\n" ); document.write( "first equation will be red color and second equation is green color
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-650%2C+650%2C+-650%2C+650%2C+-x+%2B520%2C+-1.5x+%2B607.5%29+\"
\n" ); document.write( "from the graph, our point of intersection is (175, 345)
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\n" ); document.write( "to check the work set your two equations for y equal to each other
\n" ); document.write( "520 -x = -1.5x +607.5
\n" ); document.write( "add x to both sides of =
\n" ); document.write( "520 = -.5x +607.5
\n" ); document.write( "subtract 607.5 from both sides of =
\n" ); document.write( "-87.5 = -.5x
\n" ); document.write( "divide both sides of = by -.5
\n" ); document.write( "-87.5/-.5 = x
\n" ); document.write( "175 = x
\n" ); document.write( "now substitute for x in the equation
\n" ); document.write( "y = 520 -x
\n" ); document.write( "y = 520 - 175 = 345
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\n" ); document.write( "there are 175 adults and 345 students\r
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