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Answer :
Final answer:
There were 107 adults and 216 senior citizens who paid for admission.
Explanation:
To find the number of adults and senior citizens, we can set up a system of equations based on the given information. Let's assume the number of adults is 'a' and the number of senior citizens is 's'.
From the given information, we know that the admission fee for adults is $9.00 and for senior citizens is $7.00. We also know that the total receipts for the day were $2475 and 323 people paid for admission.
We can write two equations based on this information:
- 9a + 7s = 2475 (equation 1)
- a + s = 323 (equation 2)
By solving these equations simultaneously, we can find the values of 'a' and 's'.
Multiplying equation 2 by 7, we get:
7a + 7s = 2261 (equation 3)
Subtracting equation 3 from equation 1, we get:
9a + 7s - (7a + 7s) = 2475 - 2261
2a = 214
a = 107
Substituting the value of 'a' in equation 2, we get:
107 + s = 323
s = 323 - 107
s = 216
Therefore, there were 107 adults and 216 senior citizens who paid for admission.
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