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 14 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.How many seats does the larger van have​

Answer 1

31 seats

Explanation:

Let x be the smaller van, and y be the larger one.

We know that y = x + 14

We also know that 2x + y = 65

If we replace y by its value in the second equation we have:

2x + (x + 14) = 65, then we solve

2x + x + 14 = 65

3x + 14 = 65

3x = 51

x = 17

We now know the smaller van has 17 seats.

To find how many seats are in the big one, we take the first equation:

y = x + 14

y = 17 + 14

y = 31