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Haynes High School chartered buses for 60 students to go on a field trip. Valley High School chartered buses for 80 students.

*The total cost of the buses was the same for the two schools
*Students from Valley High School paid $5 less than students from Haynes High School.

What was the cost per student for Haynes High School?

A. $5 B. $15 C. $20 D. $40

Respuesta :

dubeymanav123

Answer: $20

Step-by-step explanation:

Let 'x' be the cost of a ticket at Haynes

Let 'y' be the cost of a ticket at Valley

Since the total cost from both schools are the same, we can write it as:

[tex]60x=80y[/tex]

Since the cost of tickets at Valley was $5 less than Haynes, we can write it as:

[tex]y=x-5[/tex]

Now we have two equations, we can use to substitute into the other expression:

[tex]60x=80y[/tex]

[tex]60x=80(x-5)[/tex] we substitute y in this equation with the other equation

[tex]60x=80x-400[/tex]

[tex]-20x =-400[/tex]

[tex]x = 20[/tex]

Therefore the cost of the ticket at Haynes is $20 and the cost of the ticket at Valley is $15.

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