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

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.

74  students went on the field trip.

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 =

And, the no. Participants rode in a small bus =

54 of the students rode the large bus

So,

x+7=81

x=81-7

x=74

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.