Question

Suppose your school is having a talent show to raise money for new music supplies. You estimate that 200 studens and 150 adults will attend.You estimate $200 in expenses.

Answer 1

The question is incomplete. Here is the complete question:

Suppose your school is having a talent show to raise money for new music supplies. You estimate that 200 students and 150 adults will attend. You estimate $200 in expenses. Write an equation to find what ticket prices you should set to raise $1000.

Answer:

`200x+150y=1200`

Explanation:

Let 'x' be price per student ticket and 'y' be the price per adult ticket.

Given:

Number of students = 200

Number of adults = 150

Total fund to be raised = $1000

Expenses cost = $200

Now, price of ticket for 1 student = 'x'

Therefore, price of tickets of 200 students =
`200x`

Price of ticket of 1 adult = 'y'.

Therefore, price of tickets of 150 adults =
`150y`

Now, total fund raised will be equal to the total money obtained from selling the tickets minus the expenses estimated.

∴ Total fund raised = Total money from tickets - Expenses.

⇒
`1000=200x+150y-200`

⇒
`200x+150y=1000+200`

⇒
`200x+150y=1200`

Therefore, the equation to find what ticket prices you should set to raise $1000 is given as:

`200x+150y=1200`