Two types of tickets were sold for a concert held at
an amphitheater. Tickets to sit on a bench during the
concert cost $75 each, and tickets to sit on the lawn
during the concert cost $40 each. Organizers of the
concert announced that 350 tickets had been sold
and that $19,250 had been raised through ticket sales
alone. Which of the following systems of equations
could be used to find the number of tickets for bench
seats, B, and the number of tickets for lawn seats, L,
that were sold for the concert?

BENCH:150

LAWN:200

Step-by-step explanation:

B+L=350

75B+40L=19250

75B+40(350-B)=19250

75B+14000-40B=19250

75B-40B=5250

35B=5250

B=150

L=200

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet