Question

Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least $700? Write your answer as an inequality.

Answer 1

`x\geq 50`

Step-by-step explanation:

Let x be number of tickets that still need to be sold.

We have been given that tickets to a school dance cost $5. So cost of x tickets will be 5x.

We have been given that 90 tickets have already been sold. Therefore, cost of 90 tickets will be 90*5.

We are told that at least $700 must be earned from selling of tickets. So price of 5x plus 90*5 must be greater than or equal to 700.

Let us represent this information in an inequality.

`5x+90\cdot 5\geq 700`

`5x+450\geq 700`

`5x\geq 700-450`

`5x\geq 250`

`x\geq (250)/(5)`

`x\geq 50`

Therefore, at least 50 tickets must be sold to earn at least $700.