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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 5 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.

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?​

Respuesta :

Answer:

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.

Step-by-step explanation:

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