Question

the senior class at high school A and high school B planned separate trips to Yellowstone national park. the senior class of high school A rented and filled 3 Van's and 13 buses with 700 students. High school B rented and filled 6 Van's and 2 buses with 152 students .Each van and each bus carried the same number of students. Find the number of students in each van and in each bus

Answer 1

If x is the number of students in each Van, and y is the number of students in each bus, you can write the following equations related to the number of total students from each High school:

High school A:

3x + 13y = 700

High school B:

6x + 2y = 152

Solve the previous system of equations by using the subtraction method.

multiply the first equation by 2:

6x + 26y = 1400

next, subtract the second equation the previous one:

6x + 26y = 1400

-6x - 2y = -152

0 + 24y = 1248

from the last equation solve for y:

24y = 1248 divide by 24 both sides

y = 1248/24

y = 52

Next, replace the previous value of y into one of the equation of the system, and solve for x:

6x + 2y = 152 replace y = 52

6x + 2(52) = 152

6x + 104 = 152 subtract 104 both sides

6x = 152 - 104

6x = 48 divide by 6 both sides

x = 48/6

x = 8

Hence, there are 8 students in each Van, and 52 students in each bus.