The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus. The number of students that fit in each van is _ and the number of students that fit in each bus is _

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 13 vans and 9 buses with 569 students. High School B rented and filled 14 vans and 3 buses with 325 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

The number of students in each van = 14

The number of students in each bus = 43

Step-by-step explanation:

Let the number of students that can fill a van be v.

Let the number of students that can fill a bus be b.

The senior class at High School A rented and filled 13 vans and 9 buses with 569 students.

13 vans will have (13v) students

9 buses will have (9b) students

13v + 9b = 569

High School B rented and filled 14 vans and 3 buses with 325 students

14 vans will have (14v) students.

3 buses will have (3b) students.

14v + 3b = 325

Combining these two simultaneous equations

13v + 9b = 569

14v + 3b = 325

Solving simultaneously,

v = 14 students.

b = 43 students.

Hope this Helps!!!

1.true 2.false? ? i think. .

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.