Answer:
D. [tex]9x+25=313; x=32[/tex]
Step-by-step explanation:
Let x be the number of students went on the field trip to the estate fair.
We have been given that each ticket to enter the fair was $9. So the cost of tickets for x students will be 9x.
The parking fee for the group's bus was $25. This means that total cost of x students went to field trip will be 9x plus 25.
We have been given that total cost of trip should be $313. Upon equating the total cost of field trip by 313 we will get our equation as:
[tex]9x+25=313[/tex]
Therefore, our desired equation will be [tex]9x+25=313[/tex].
Now let us solve for x to find the number of students that went on field trip by subtracting 25 from both sides of our equation.
[tex]9x+25-25=313-25[/tex]
[tex]9x=288[/tex]
Upon dividing both sides of our equation by 9 we will get,
[tex]\frac{9x}{9}=\frac{288}{9}[/tex]
[tex]x=32[/tex]
Therefore, 32 students went on the field trip and option D is the correct choice.
