The senior classes at high school a and high school b planned separate trips to the county fair. the senior class at high school a rented and filled 8 vans and 8 buses with 312 students. high school b rented and filled 9 vans and 4 buses with 196 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 your work).

vans = v, buses = b, students = s

8v + 8b =312s ...eqn 1

9v + 4b = 196s ...eqn 2

divide eqn 1 by 2

4v + 4b = 156s ...eqn 3

eqn 2 - eqn 3

5v = 40s

v = 8s

subst v = 8s in eqn 2

72s + 4b = 196 s

b = 31s

answer

each van holds 8 students and each bus holds 31 students

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation:

c

step-by-step explanation: