Question

A Bus begins its trip with R occupants (including the driver).At each of the 20 stops three people get on and no one leaves if there are three times as many boss occupants at the end of the 20th stop as there are at the end of the fourth stop how many occupants did the bus have immediately after the 10th stop?Pls explain for brainlest
A.12
B.24
C.30
D.42

Answer 1

Answer

D.42

Step-by-step explanation:

It's pretty easy and hard at the same time just do not overthink it. Obviously, the bus leaves with R occupants including the driver but that still means that there are occupants, to begin with. Now remembering that 3 people get on each stop you can take it to multiply 3*10  (3 people, ten stops) you would get thirty. Would this be the answer? NO! Remember that you began with R occupants to begin with and either using the process of elimination or common sense you can conclude that 12,24 are improbable answers because they are lower than thirty, and what about thirty? No, because you had thirty people in addition to the original occupants so that eliminates thirty. What's left?

                                                             42

                                              There Is Your Answer

Answer 2

Answer:

• D. 42

================

Given

• The bus has initially R occupants,
• At each stop the occupants increase by 3,
• After 20 stops there are 3 times more occupants than after 4 stops.

To find

• The number of occupants after 10 stops

Solution

Let's find out the how many occupants are there after 20 and 4 stops, then compare:

After 20 stops:

• R + 3*20 =
• R + 60

After 4 stops:

• R + 3*4 =
• R + 12

Compare and solve for R:

• R + 60 = 3(R + 12)
• R + 60 = 3R + 36
• 3R - R = 60 - 36
• 2R = 24
• R = 12

We found the number of initial occupants.

Use this  to find the number of occupants after 10 stops:

• 12 + 3*10 =
• 12 + 30 =
• 42

Correct answer choice is D.