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the junior high at St. Martin rented 6 vans and 8 buses with 396 students. St Anne rented and filled 12 vans and 11 buses with 612 students. If each van and each bus carried the same number of students, how many can a van carry?

(answer please)

Sagot :

KanataHoshijima31go

Answer:

18 students

Step-by-step explanation:

This problem involves a system with two variables. From the problem, we can get the two initial equations.

(A) 6v + 8b = 396

(B) 12v + 11b = 612

Dividing (A) by 2,

(C) 3v + 4b = 198

Multiplying (A) by 2,

(D) 12v + 16b = 792

Subtracting (D) from (B),

5b = 180

(E) b = 36

Substituting (B) into (C),

3v + 4(36) = 198

v + 4(12) = 66

v + 48 = 66

v = 66 - 48

(F) v = 18

Therefore, a van can carry 18 students.

Hope this helps!

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