Question

The senior classes at High school A and High school B planned separate trips to the water park. The senior class at High school A rented and filled 7 vans and 2 buses with 167 students. High school B rented and filled 13 vans and 10 buses with 593 students. Each van and each bus carried the same amount of students in each van and in each bus.

Answer 1

The number of students per van and per bus using simultaneous algebraic equations based on the total students and vehicles from two high schools.

Step-by-step explanation:

Calculating the number of students each van and bus can carry when given the total number of students and the number of vehicles used by two different high schools. This is a classic algebra problem dealing with simultaneous equations, where we need to find the values for the number of students per van (v) and per bus (b). The two equations can be set up based on information given:

• 7v + 2b = 167 (High school A)
• 13v + 10b = 593 (High school B)

Solving these equations simultaneously will determine the value for v and b that satisfy both equations. Once v and b are found, the exact number of students that can fit into a van and a bus, respectively, can be determined.

Answer 2

each van carried 11 students and each bus carried 45 students