Class a rented 2 filled vans and 7 buses with 407 students. b rented and filled 1 van and 7 buses with 389 students. how many students can a van carry? how many students cna a bus carry?

1 van can hold 18 people, and 1 bus can hold 53 people.

What we know: Class A rented 2 filled vans and 7 buses with 407 students.

Class B rented and filled 1 van and 7 buses with 389 students.

What we need to know: How many students can a van carry? How many students can a bus carry?

Equation A: 2v + 7b = 407

Equation B: 1v + 7b = 389

Variables used: v = amount of people that can fill a van and b = amount of people that can fill a bus

This is quite a simple equation, because we know that class A used 1 more van than Class B, and the question says that each vehicle was full. So, all you have to do it subtract 389 from 407 to get 18. That means that 1 can can hold 18 people.

Now you just plug it in to find the value for b, 1(18) + 7b = 389

7b = 371

b = 53

So the amount of people that can fit on a van is 18, and the amount of people that can ft on a bus is 53.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)