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Let the no. of students be x
total cost = y
Then the first equation will be
8x + 20 = y
And the second equation will be
3x + 40 = y
A system of two equations where each equation models the total cost y to take x students on each field trip is;
8x + 20 = y
3x + 40 = y
The total cost y is 48 to take x = 4 students on each field trip.
What is the system of equations?
In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables.
A science teacher is planning a field trip to either the aquarium or the science center.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
The science center charges $3 per student and has a class lab fee of $40.
Let the total cost y to take x students on each field trip.
The aquarium charges $20 for the class tour guide and also charges $8 per student.
8x + 20 = y
The science center charges $3 per student and has a class lab fee of $40.
3x + 40 = y
On solving both the equation
Substitute the value of y in the equation 2
3x + 40 = y
3x + 40 = 8x+20
8x - 3x = 40-20
5x = 20
x = 20/5
x = 4
Substitute the value of x in the equation 1
3x + 40 = y
2(4) + 40 =y
8 + 40 = y
y = 48
Hence, the total cost y is 48 to take x = 4 students on each field trip.
Learn more about the system of the equation here;
https://brainly.com/question/8119922
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