Question

7) The water park is a popular field trip destination. This year the senior class at High School A and thesenior class at High School B both planned trips there. The senior class at High School A rented andfilled 1 van and 14 buses with 309 students. High School B rented and filled 4 vans and 14 buseswith 354 students. Each van and each bus carried the same number of students. Find the number ofstudents in each van and in each bus.C) Van: 19 Bus: 29 D) Van: 15, Bus: 21

Answer 1

Given

The water park 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 1 van and 14 buses with 309 students. High School B rented and filled 4 vans and 14 buses with 354 students. Each van and each bus carried the same number of students.

Answer

Let students in Van be x

And students in bus be y

A/Q

x + 14y = 309 (1)

4x + 14y = 354 (2)

Subtracting (1) and (2)

3x = 45

x = 15

Put in eq (1)

15 + 14 y = 309

14y = 309 - 15

14 y = 294

y = 21

St