Question

For one performance of a play, 416 tickets were sold. Reserved seat tickets sold for $14 each, and general admission tickets sold for $8 each. Receipts from the sale of the tickets totaled $4840. Find the number of general admission tickets sold.

Answer 1

Find the equation of the line that contains the point (0, 4) and is parallel to the line 3x – 4y = 8.

Answer 2

Is Homework a school subject?

Answer 3

If there were g general tickets, then the rest (416-g) were reserved.

Now add up all the receipts:

8g+14(416-g) = 4840

Now just solve for g.

Answer 4

3x-4y=8 has slope 3/4

So, you want the line through (0,4) with slope 3/4:

y-4 = 3/4 (x-0)

Answer 5

Or, you can think of it like this:

all lines of the form

3x – 4y = C

are parallel to the line 3x – 4y = 8

So, plug in your point (0,4) and you have

3(0)-4(4) = -16

So, your new line is

3x – 4y = -16

which is the same line derived above with the point-slope form.