To raise money, the student council at a local middle school is hosting a talent show. Tickets are sold for $5.00 for students (x) and $8.00 for adults (y). The goal is to raise a total of $1,575.00. Which of the following is a viable solution for the number of student and adult tickets that can be sold?(1 point)

Question

To raise money, the student council at a local middle school is hosting a talent show. Tickets are sold for $5.00 for students (x) and $8.00 for adults (y). The goal is to raise a total of $1,575.00. Which of the following is a viable solution for the number of student and adult tickets that can be sold?(1 point)

Responses

(125,115)
left parenthesis 125 comma 115 right parenthesis

(115,125)
left parenthesis 115 comma 125 right parenthesis

(81,146.25)
left parenthesis 81 comma 146.25 right parenthesis

(371,−35)

Answer 1

The question is asking for a viable solution for the number of student and adult tickets that can be sold.

Let's assume the number of student tickets sold is x and the number of adult tickets sold is y.

We can set up the following equation to represent the total amount raised:

5x + 8y = 1575

Now we can try plugging in the given answer choices and see which one makes the equation true.

Let's try answer choice (125,115):

5(125) + 8(115) = 625 + 920 = 1545

This is close to the goal amount of $1,575.00, but it is not equal to it.

Now let's try answer choice (115,125):

5(115) + 8(125) = 575 + 1000 = 1575

This solution makes the equation true and meets the goal amount of $1,575.00.

Therefore, the viable solution for the number of student and adult tickets that can be sold is (115,125).