A company uses two vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 am. 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. let X be the seats in the small van and y the seats in the large van. how many seats does the larger van have?

Question

Mathematics

Reilly Rhodes

11 May, 16:50

A company uses two vans to transport workers from a free parking lot to the workplace between 7:00 and 9:00 am. 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. let X be the seats in the small van and y the seats in the large van. how many seats does the larger van have?

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Answers (2)

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Julia Murillo · Answer 1

X is the seats in the small van.

y is the seats in the large van = (x + 6). Since the large has 6 more seats.

Since the 2 vans can transport 57 people.

Small van makes 2 trips = 2x.

Large van makes one trip = (x + 6).

2x + (x + 6) = 57

2x + x + 6 = 57

3x + 6 = 57

3x = 57 - 6

3x = 51

x = 51/3

x = 17.

The larger van has (x + 6) = (17 + 6) = 23.

The larger van has 23 seats.

Joseph Kelly · Answer 2

Y - x = 6

y + 2x = 57

2y - 2x = 12

y + 2x = 57

∴3y = 69

y = 23

23 - x = 6

-x = - 17

x = 17

large van = 23

small van = 17