The senior classes at high school a and high school b planned separate trips to the local amusement park. the senior class at high school a rented and filled 1 van and 6 buses with 259 students. high school b rented and filled 1 van and 2 buses with 91 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.

Let v and b represent the numbers of students transported by each v and bus, respectively.

... 1v +6b = 259 . . . . . high school A's transportation model

... 1v +2b = 91 . . . . . . . high school B's transportation model

Since the coefficients of v are the same in each equation, the variable v can be eliminated by subtracting the second equation from the first.

... 4b = 168 . . . . . . . . . the result of the subtraction

... b = 42 . . . . . . . . . . . divide by the coefficient of b

From the second equation:

... v = 91 - 2b = 91 - 84 = 7

Each van holds 7 students; each bus holds 42 students.

12

step-by-step explanation:

a triangle's   full angle is 180 degrees so 180 - 156 = 24. 24/2=12