your school is planning a field trip to the zoo there are two different bus school bus company a has a $35 rental fee plus $5 for each Student Bus Company B has a $95 rental fee plus $3 for each student how many students would need to go in order for the bus to cost the same from both companies

Respuesta :

To make the cost the same 30 students would need to go.

Answer:

With 30 students, both plan would be equal.

Step-by-step explanation:

We know that Bus A has a $35 rental fee plus $5 for each student, this can be expressed as

[tex]\$35+\$5x[/tex]

Where [tex]x[/tex] represents students

Also, we know that Bus B has a $95 rental fee plus $3 for each student, this can be expressed as

[tex]\$95+\$3x[/tex]

To find the number of students to both plans be equal, we have to equal both expression and solve for [tex]x[/tex] as follows

[tex]35+5x=95+3x\\5x-3x=95-35\\2x=60\\x=\frac{60}{2}\\ x=30[/tex]

Therefore, with 30 students, both plan would be equal.

Q&A Education