Question

here is the question: The 5th graders at Bronx 2 Middle School use eight identical airplanes, with 90 seats on each airplane, for a trip to the Bahamas. in order to maintain social distancing, the bus taped over 1/3 of the Seats on each airplanes are no one could sit in them. The students and adults chaperones used the following steps to board the airplane:- First, the filled every available seat on 1/4 of the airplanes.- Next, they filled 2/3 of the available seats on 1/3 of the remaining airplanes.-Last, they filled in 25 seats on each of the remaining airplanes.if 1/10 of all the passengers on the airplane were adults, many adults went on the trip to the Bahamas?

Answer 1

There were 30 adults on the trip to Bahamas.

Step-by-step explanation

To do this, we will take the calculations step by step.

There are 8 airplanes, each with 90 seats.

Total number of seats on all the airplanes = 8 × 90 = 720 seats

Due to social distancing, (1/3) of the seats are taped.

(1/3) × (total number of seats) = (1/3) × 720 = 240 seats taped.

Number of seats available = (Total number of seats) - (Seats taped)

Number of seats available = 720 - 240 = 480

Now, they filled all the available seats in (1/4) of the planes

There are 8 planes on the trip.

480 available seats in total

Each plane will have (480/8) = 60 available seats.

So, (1/4) × 8 planes = 2 planes

So, all 60 × 2 = 120 available seats are filled on two airplanes.

Next, they filled (2/3) of the available seats on (1/3) of the remaining airplanes.

Recall that 2 planes have already been filled.

There are now 8 - 2 = 6 planes left.

(1/3) × 6 planes = 2 planes

On these 2 planes, they filled (2/3) of the available seats

Each plane has 60 available seats.

2 planes will have 2 × 60 = 120 available seats

And they filled (2/3) × 120 = 80 seats on these two planes.

Lastly, they filled 25 seats on the remaining airplanes.

There are 8 airplanes in total.

We've already worked with 4 airplanes and worked out how many seats are filled on them. But now, there will be 8 - 4 = 4 airplanes left,

Each of these 4 airplanes is then only filled by 25 occupants.

Total number of seats filled on these 4 airplanes = 4 × 25 = 100 seats

Total number of seats filled = 120 + 80 + 100 = 300 seats filled in total,

(1/10) of (All passengers) = Adults

All passengers = 300

(1/10) × 300 = 30 adults.

Hope this Helps!!!