Can you help me with this word problem please???!!!?

Question

An example of this type of problem is: A movie theater sells tickets for $9.00 each. Senior citizens recieve a discount of $3.00. One evening the theater sold 636 tickets and took in $4974 in revenue. How many tickets were sold to the senior citizens? How many were sold to "moviegoers" who were not citizens.

Answer 1

Let r=number of regular price tickets sold
let s=number of senior discount tickets sold

r+s=636
9r + 6s = 4974

Answer 2

Here's what I would do:

Let s = the number of senior citizen tickets
Then since there are 636 total tickets, the number of non-seniors would be 636 - s.

9(636 - s) + 6s = 4974

Do out by distributive property, combine like terms, etc to find s, then subtract it fro 636.

Answer 3

Set up two functions

9x + 6y = 4974
x + y = 636

Then solve for a variable in the 2nd

x = 636 - y

and substitute it into the first.

9(636 - y) + 6y = 4974

When you solve for y you'll have the number of senior tickets, subtract that from 636 and you'll have the number of regular tickets.

Answer 4

Number of tickets sold: (x = number of regular price; y = number of senior price)
x + y = 636
x = 636 -y

Total revenue:
9x + 6y = 4974

Now substitute y for x:
9(636-y) + 6y = 4974

5724 - 9y + 6y = 4974
5724 -3y = 4974
750 = 3y
250 = y

Now plug y back in to 1st equation:
x + 250 = 636
x = 386

So:
386 regular price
250 senior price.

Answer 5

Unless you mis-stated the question, it is impossible to determine how many "moviegoers" were not citizens. The focus seems to be directed at the number of senior citizens who bought tickets, which is the way a lot of these word problems attempt to confuse the reader.

Answer 6

normal tickets = t
senior's = d

Therefore;
(i) t + d = 636
(ii) 9t + 6d = 4974

From (i) t = 636 - d, Subtitute this in (ii)

9 (636 - d) + 6d = 4974

Resolve the equation and u will got the answer.

d = 250 and t = 386