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WORD PROBLEM: HELP NEEDED!!?
Word problem:
of the 800 tickets sold to a movie, 480 were full price tickets costs $3 each. If the gate receipt were 2080, what did a student ticket cost?
11 Answers
- 1 decade agoFavorite Answer
i tryied and failed. i thinks 2 dollars and 78 cents. im not sure
srry :)
- 1 decade ago
It is given that there are 800 total tickets and that the number of full price tickets sold was 480, so if we say that the number of student tickets is T then we can say
480 + T = 800 .
From this we can solve for T.
The gate receipt will be the price of full price tickets times the number of full price tickets sold, plus the price of student tickets times the number of student tickets sold. It is given that the cost of a full price ticket is 3, so if P is the price of a student ticket, then we can say
(3)(480) + T*P = 2080 .
Since we should already know the value of T, we can simply solve this equation for P, and doing this will tell us the cost of a student ticket.
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- 1 decade ago
Total number of tickets = 800
Number of full-price tickets = 480
Number of student tickets = 800 - 480 = 320
x = price of a student ticket
480(3) + 320(x) = 2080
1440 + 320x = 2080
Get rid of the 1440 by subtracting it from both sides.
1440-1440 + 320x = 2080-1440
320x = 640
Get rid of the 320 by dividing it out of both sides.
320x/320 = 640/320
x=2
Check your work by plugging in x=2 into the original equation.
480(3) + 320(2) = 2080
- 1 decade ago
they cost $2
yu do this
take 480 times 3 to get 1440
then take 800-480 to get 320=tickets left
then take 2080-1440=640 which equals money left
then 640/320 to get 2 which is price for student ticket
- yoppLv 45 years ago
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- 1 decade ago
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- Anonymous1 decade ago
That depends: What movie was it?