Question

Sophia wrote an equation to represent the revenue of a movie theater for one day. She let x represent the number of child tickets sold and y represent the number of adult tickets sold. If a child ticket costs $4, an adult ticket costs $6, and the total revenue for the day was $420, which equation could Sophia use to represent the number of child and adult tickets that were sold?

Answer 1

4x+6y+=420 would be the equation

Answer 2

The equation representing the number of tickets sold is
`4x+6y=420`.

Explanation:

Let the number of child tickets = x and the number of adult tickets = y.

We have,

Cost of 1 child ticket = $4. So, the cost of x child tickets = 4x dollars.

Cost of 1 adult ticket = $6. So, the cost of y adult tickets = 6x dollars.

Since, the total revenue from the tickets = $420.

We get the equation,

Cost of x child tickets + Cost of y adult tickets = Total revenue

i.e.
`4x+6y=420`

Hence, the equation representing the number of tickets sold is
`4x+6y=420`.