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 moring 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?

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Mathematics

7 May, 02:30

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 moring 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?

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Evangeline Burns · Answer 1

31 Seats

Step-by-step explanation:

Let the number of seats in the smaller van = x

One van has 14 more seats than the other.

Therefore, the number of seats in the larger van y = x+14

The smaller van makes two trips every morning while the larger one makes only one trip. The two vans can transport 65 people, maximum.

Therefore:

Two trips of the smaller Van + One Trip of the Larger Van=65

x+x+y=65

x+x+x+14=65

3x+14=65

3x=65-14

3x=51

x=17

Therefore, the number of seats in the larger van, y=17+14

y=31 Seats