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

just took the test and my answers down below!

step-by-step explanation:

check the pic :

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.