Question

Of the last 14 trains to pull into Brookfield Station, 10 were full. Considering this data, how many of the next 7 trains would you expect to be full?

Answer 1

5

Explanation:

Hello There!

This question has to do with proportionalities

The first thing we want to do is create a proportional relationship between the total amount of trains to the amount of trains that are full

It said that out 14 trains 10 were full

so the proportional relationship would be

10 to 14

now we want to find how many trains would be full out of 7

to do so we set up an equation using our formed proportion

let x = number of full trains

`(10)/(14) =(x)/(7)`

now we solve for x

to solve for x we want to isolate the variable (x) and get rid of the 7

to do so we multiply each side by 7

`(x)/(7) 7=x\\(10)/(14) 7=5`

we're left with x = 5

hence we can expect 5 trains to be full out of 7