Question

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?

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. 

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