Question

15) The senior classes at High School A and High School B planned separate trips to the water park.

Answer 1

Answer:  D) Van: 8, Bus: 25

Bus can carry 25 students ,  van can carry 8 students.

Explanation:

Let vans be v and buses be b

Equations:

6v + 2b = 98 ..........from Theory 1

10v + 2b = 130 ..........from Theory 2

Making b the subject:

6v + 2b = 98

b = (98 - 6v)/2 ............. equation 1

10v + 2b = 130

b = (130 - 10v)/2  .........equation 2

Solving them simultaneously:

(130 - 10v)/2 = (98 - 6v)/2

130 - 10v = 98 - 6v

-6v + 10v = 130 - 98

4v = 32

v = 8

Therefore each van can carry 8 students.

Then the bus can carry: (98 - 6v)/2

                                    → (98 - 6(8))/2

                                    →  25 people