A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $15.00. The register confirms that $8,587.50 was taken in. How many student tickets and adult tickets were sold?

165 student tickets and 435 adult tickets were sold

Step-by-step explanation:

In this question, we are asked to calculate the number of students and adults tickets sold.

since we do not know these numbers, let the number of student tickets sold be s and the number of adult tickets sold be a

From the question, we are told that a total of 600 tickets were sold.

mathematically, this means that;

a + s = 600 •(i)

The price of students ticket sold is $13.5, this means the total money realized from sales of student ticket = $13.5s

The price of adult ticket sold is $15, this means the total money realized from the sales of adult ticket is $15a

Adding both yields a total of $8,587.5

Hence, mathematically;

13.5s + 15a = 8,587.5. ••••••••(ii)

From equation 1, a = 600 - s , we can input this in the second equation to yield;

13.5s + 15(600-s) = 8,587.5

13.5s + 9,000 - 15s = 8,587.5

2.5s = 9,000 - 8587.5

2.5s = 412.5

s = 412.5/2.5

s = 165 student tickets

Number of adult tickets = 600 - s = 600 - 165 = 435

20

step-by-step explanation:

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered