SOLUTION: How would I setup this problem: All 147 students in the Math Club went on a field trip. some students rode in vans which hold 9 students each and some students rode in buses which

Question 963330: How would I setup this problem:
All 147 students in the Math Club went on a field trip. some students rode in vans which hold 9 students each and some students rode in buses which hold 15 students each. How many of each vehicle did they use if there were 13 vehicles total?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!

V=number of vans; B=number of buses
V+B=13
V=13-B Use this to substitute for V.
9V+15B=147 Substitute for V from above.
9(13-B)+15B=147
117-9B+15B=147 Subtract 117 from each side.
6B=30 Divide each side by 6
B=5 ANSWER 1: There were 5 buses.
V=13-B=13-5=8 ANSWER 2: There were 8 vans.
CHECK:
9V+15B=147
9(8)+15(5)=147
72+75=147
147=147
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