For a trip, one high school rented and filled 2 vans and 8 buses with 176 students. another high school instead fit its 164 students into 3 vans and 7 buses. with eachbus and van seating the same number of students, how many students can a bus carry. how many students can a van carry?

A bus can carry 20 students

A van can carry 8 students

Step-by-step explanation:

Let x represent the number of students a van can carry

Let y represent the number of students a bus can carry.

In the first high school, 2 vans and 8 buses was occupied by 176 students i.e.

2x + 8y = 176 (eqn 1)

In the second high school, 3 vans and 7 buses occupied 164 students i.e.

3x + 7y = 164 (eqn 2)

We have two equations which we will solve simultaneously using the elimination method

2x + 8y = 176

3x + 7y = 164

To eliminate the x variable, we multiply eqn 1 by 3 and eqn 2 by 2 i.e.

3 × 2x + 8y = 176

2 × 3x + 7y = 164

We have;

6x + 24y = 528 (eqn 3)

6x + 14y = 328 (eqn 4)

We subtract eqn 4 from eqn 3

10y = 200

Divide both sides by 10

y = 20

Since y=20, we substitute the value of y into eqn 1

2x + 8y = 176

2x + 8(20) = 176

2x + 160 = 176

2x = 176 - 160

2x = 16

x = 8

Hence, the number of students that a van can carry denoted by x is 8 while the number of students a bus can carry denoted by y is 20.

your answer would be b

step-by-step explanation:

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !