SOLUTION: a company uses 2 vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 a.m. one van has 14 more seats than the other. the smaller van makes two t

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Question 952769: a company uses 2 vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 a.m. one van has 14 more seats than the other. the smaller van makes two trips every morning while the larger one makes only one trip. the two vans can transport 65 people, maximum.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
This may not be the answer to your problem. You did not post an actual question.
S=small van's capacity; L=large vans capacity=S+14
2S+L=65 Substitute for L
2S+S+14=65 Subtract 14 from each side.
3S=51 Divide each side by 3.
S=17 ANSWER 1: The small van could carry 17 people.
L=S+14=17+14=31 ANSWER 2: The large van could carry 31 people.
CHECK:
2S+L=65
2(17)+31=65
34+31=65
65=65