Question

The NAU Math Club rented 3 vans and 2 cars to transport 26 people to the University of Phoenix Stadium for a competition. In order to transport all 17 students in their math club at ASU, they needed 4 cars and 1 van. How many people fit in one van and in one car?

Answer 1

Answer:

V +  B  =   15     ⇒   V =  15  - B     (1)

7V  +  25B  =   231       (2)

 

Sub  (1)  into (2)  for  V   and we  have that

 

7 (15 - B)  + 25B  = 231   simplify

105 - 7B + 25B  =  231

105 +18B =  231     subtract 105  from each side

18B = 126     divide  both sides  by  18

B =  7  (buses)

 

V =15 - 7  =   8 (vans)

 

 

Step-by-step explanation:

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