The relationship between the number of buses, number of cars and the students is an illustration of a linear equation.
The number of bus on the trip is 7
Let:
[tex]b \to bus[/tex]
[tex]c \to car[/tex]
[tex]c = 13[/tex] --- students that traveled by car
[tex]Total = 328[/tex] --- the total number of students
So, the equation is:
[tex]45b + c = Total[/tex]
Substitute values for c and Total
[tex]45b + 13 = 328[/tex]
Collect like terms
[tex]45b = 328 - 13[/tex]
[tex]45b = 315[/tex]
Divide both sides by 45
[tex]b = 7[/tex]
Hence, the number of buses on the trip is 7
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