A company uses two vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 a.m. One van has 6 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 57 people, maximum. How many seats does the large van have

Question

goformit100 · Answer

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anonymous · Answer

2x + y = 57

2x + (x + 6) = 57

3x = 51

x = 51/3 = 17 people

y = x + 6 = 17 + 6 = 23 people

check:

2x + y = 57

2(17) + 23 = 34 + 23 = 57
small van:17
large van:23