The senior classes at high school a and high school b planned separate trips to new york city. the
senior class at high school a rented and filled 1 van and 6 buses with 372 students. high school b
rented and filled 4 vans and 12 buses with 780 students. each van and each bus carried the same
number of students. how many students can a van carry? how many students can a bus carry?
show work pls

van = v, bus = b, students = s

v + 6b = 372s ...eqn 1

4v + 12b = 780s ...eqn 2

divide eqn 2 by 4

v + 3b = 195s ...eqn 3

eqn 1 - eqn 3

3b = 177s

b = 59s

subst b = 59 in eqn 1

v + 354s = 372s

v = 18s

each van holds 18 students and each bus holds 59 students

they are simplified

step-by-step explanation:

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3