Question

A company uses two vans to transportworkers from a free parking lot to theworkplace between 7:00 and 9:00 a.m.One van has 6 more seats than theother. The smaller van makes two tripsevery morning while the larger onemakes only one trip. The two vacantransport 57 people, maximum.Let x be the seats in the small van and y theseats in the large van. How many seats does thelarger van have?

Answer 1

X = small van capacity, y = larger van capacity
y = x + 6

2x + y = 57
now we sub in x + 6 for y
2x + x + 6 = 57
3x + 6 = 57
3x = 57 - 6
3x = 51
x = 51/3
x = 17

y = x + 6
y = 17 + 6
y = 23

small van (x) has 17 seats and large van (y) has 23 seats