Question

The total number of participants who went on the field trip consisted of all 7th grade students and 7 adult chaperones. 2/3 of the total participants rode a large bus and the rest rode a smaller bus. If 54 of the students rode the large bus, how many students went on the field trip? Show Work!

(A) 36 students
(B) 54 students
(C) 74 students
(D) 90 students

Answer 1

74 students went on the field trip.

Step-by-step explanation:

Given:

The total number of participants who went on the field trip consisted of all 7th grade students and 7 adult chaperones.

2/3 of the total participants rode a large bus and the rest rode a smaller bus.

54 of the students rode the large bus

To Find:

number of students went on the field trip=?

Solution:

Let the total number of 7th standard students = x

So, total number of participants = x+7

Now,

So according to question,

No. Of participants rode in a large bus =
`(2)/(3)*(x+7)`

And, the no. Participants rode in a small bus =
`(1)/(3)*(x+7)`

54 of the students rode the large bus

So,

`(1)/(3)*(x+7)=54`

x+7=81

x=81-7

x=74

Answer 2

C. 74

Step-by-step explanation:

2/3 of the total participants rode a large bus and the rest rode a smaller bus, then 1/3 of the total participants rode a small bus.

If 54 of the students rode the large bus, then

54 students = 2/3 of the total participants

27 students = 1/3 of the total participants

Thus, 27 paticipants rode the small bus.

The total number of participants is

54 + 27 = 81 participants

7 of them are adult chaperones, the rest are students, so the number of students is

81 - 7 = 74 students.