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

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.