Question

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 2 trips every morning while tye larger one makes only one trip the 2 vans can only transport 71 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 on have?

Answer 1

P=2x+y, y=x+5, so x=y-5 making the first equation:

p=2(y-5)+y  perform indicated multiplication on right side

p=2y-10+y  combine like terms on right side

p=3y-10, and we are told that 71 passengers are transported so:

3y-10=71 add 10 to both sides

3y=81  divide both sides by 3

y=27

So the larger bus has 27 seats.  (the smaller has 22 seats)

Answer 2

2x + y = 71
y = x + 5

2x + (x + 5) = 71
3x + 5 = 71
3x = 71 - 5
3x = 66
x = 66/3
x = 22 .... small van

y = x + 5
y = 22 + 5
y = 27 <=== larger van