WILL MEDAL !!!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 two trips every morning while the larger one makes only one trip. The two vans can transport 71 people, maximum.

Question

kaleyhiker4445 · Answer

How many seats does the larger van have

sachintha · Answer

Let the smaller van has $x$ no. of seats. So the larger van has $x+5$ seats. Now can you form up an equation with the given data?

kaleyhiker4445 · Answer

71(x+5)

sachintha · Answer

No. Remember that 71 people are transported when the smaller van travels twice while the larger one travels only once.

sachintha · Answer

Any idea?

kaleyhiker4445 · Answer

71 divided by 2 minus 5

sachintha · Answer

Pretty close. You can form the equation as follows,
$\large 2x+(x+5)=71$

kaleyhiker4445 · Answer

so i just plug in x to get the answer

sachintha · Answer

$x$ - no. of seats in smaller van
First solve for $x$ and add 5 since the larger van has 5 more seats than the smaller one.