Question

A group of agricultural students went on a field trip to the state fair. Each ticket to enter the fair was $9 and the parking fee for the groups bus was $25. How many students went on the field trip if the total cost was $313? Write an equation to represent this problem then solve the equation.

A. 25 x +9=313; x=32
B. 25 x +8=313; x=12
C. 9x-25=313; x=38
D. 9x+25=313; x=32

Answer 1

D. 9x+25=313
9x32+25=313

Answer 2

D.
`9x+25=313; x=32`

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:

`9x+25=313`

Therefore, our desired equation will be
`9x+25=313`.

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.

`9x+25-25=313-25`

`9x=288`

Upon dividing both sides of our equation by 9 we will get,

`(9x)/(9)=(288)/(9)`

`x=32`

Therefore, 32 students went on the field trip and option D is the correct choice.