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Question 89745This question is from textbook Algegra & Trigonometry
: Solve the problem.
The Family Fine Arts Center charges $21 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 535 people paid admission, the total receipts were $8355. How many who paid were senior citizens?
I am struggling with the right formula to use. Do I use an arthimetic or geometric sequence? Thanks in advance for the help! Annie C.
This question is from textbook Algegra & Trigonometry
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The Family Fine Arts Center charges $21 per adult and $13 per senior citizen for its performances. On a recent weekend evening when 535 people paid admission, the total receipts were $8355. How many who paid were senior citizens?
I am struggling with the right formula to use. Do I use an arthimetic or geometric sequence?
:
Algebra would be way to go, You can do it with just one equation:
:
Let x = no. of senior citizens
:
It said there were a total of 535 people, therefore:
(535-x) = no. of adults
:
adults $amt + seniors $amt = $8355
21(535-x) + 13x = 8355
:
11235 - 21x + 13x = 8355; multiply what's inside the brackets
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-21x + 13s = 8355 - 11235; subtract 11235 from both sides
:
-8x = -2880
or
8x = 2880; multiplied equation by -1, to get rid of the negatives
:
x = 2880/8
:
x = 360 seniors
:
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Check our solution; find no. of adults: 535 - 360 = 175 adults:
21(175) + 13(360) =
3675 + 4680 = 8355
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:
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