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?

6 x + 4 y = 420
4 x + 6 y = 420
4 x + 6 y = 840
6 x + 4 y = 840

Answer 1

4x + 6y = 420

Step-by-step explanation:

since x is number of child tickets and y is adult tickets, and $4 is the cost of child tickets and $6 is the cost of adult tickets, that eliminates A and D.

The question also states "for one day", so that elimates C, which C is the equation for two days.

This leaves 4x + 6y = 420