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All 231 students in the math club went on a field trip. Some students rode in vans which hold 7 students each and some students rode in buses which hold 25 students each. How many off each type of vehicle did they use if there were 15 vehicles total

 Mar 10, 2020
 #1
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+5

We have this system :

 

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)

 

 

cool cool cool

 Mar 10, 2020

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