Let x be the seats in the small van and y the seats in the large van. how many seats does the large van have?

a company uses two vans to transport worker from a free parking lot to the workplace between 7:00 and 9:00a. 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.

Question

Jamiya Roman

Mathematics

29 April, 20:21

Let x be the seats in the small van and y the seats in the large van. how many seats does the large van have?

a company uses two vans to transport worker from a free parking lot to the workplace between 7:00 and 9:00a. 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.

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Answers (1)

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Berger · Answer 1

Given: 2 vans

let van 1 seats = x

let van 2 seats = y = x + 6

Total # trips larger = 1 trip

total # trips small = 2 trips

max # people = 57 each

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

Thus, the small van can carry 17 passengers the large van can carry 23 passengers