SOLUTION: 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.
Question:
The school rai
Algebra ->
Linear-equations
-> SOLUTION: 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.
Question:
The school rai
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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.
Question:
The school raised $1518.75 by charging an adult $3.75 and a student $2.50.
The total attendance was 520. How many adult and how many students attended?
a. write a linear system to model this situation.
b. express each equation in slope-interccept form and graph each line.
c. determine this coordinates of the point of intersection of the line.
d. how to verify the solution in step C by using tables of values?
e. verify your solution by using the data in the given problem.
f. how can you use your results to determine the number of adults and the number of student who attended the carnival ?
my ans:
a)
x= # of adult
y=# of student
x+y=520
3.75x+2.50y=1518.75
b)
y=mx+b
x+y=520
y=520-x
3.75x+2.50y=1518.75
2.50y=-3.75x+1518.75
y=-3.75/2.50x +1518.75/2.50
y=1.5x +607.5 ***( it's correct if is not whole number ?) I couldn't graph this ***
You can put this solution on YOUR website! your calculations are correct except for the last value for y
y = 1.5x +607.5
should be
y = -1.5x +607.5
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now graph the two equations
y = 520 -x
y = -1.5x +607.5
first equation will be red color and second equation is green color
from the graph, our point of intersection is (175, 345)
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to check the work set your two equations for y equal to each other
520 -x = -1.5x +607.5
add x to both sides of =
520 = -.5x +607.5
subtract 607.5 from both sides of =
-87.5 = -.5x
divide both sides of = by -.5
-87.5/-.5 = x
175 = x
now substitute for x in the equation
y = 520 -x
y = 520 - 175 = 345
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there are 175 adults and 345 students
