Question

On Thursday, 445 student went on a field trip. There were 11 buses and 5 studentstraveled by car. Which equation best represents the number of students on each bus. Letx be the number of students on a bus.5x+11=445445+x=11+5445x+5=1111x+5=445

Answer 1

Answer: 11x+5=445

Step-by-step explanation:

445 students went on the trip, but 5 traveled by car. So only:

`445-5=440`

traveled by bus.

There were 11 buses, so to know the amount of students on each bus, we need to divide 445 - 5 by 11.

And since we are told that x represents the numer of students on a bus:

`x=(445-5)/(11)`

This is not one of our options as it is, since the options are not solved for x.

We need to manipulate the equation, and compare with the options that are equivalent to what is obtained.

first, we multiply everything by 11, so that the 11 on the denominator is cancelled:

`11x=445-5`

Now, we add +5 on each side of the equation:

`11x+5=445-5+5`

the -5 + 5 in the right side is cancelled, and we get:

`11x+5=445`

The answer is the fourth option:

11x+5=445