Question

The Johnson family decides to take a trip to the theater over the holiday break. Theater tickets for adults cost $22. Children's tickets cost $15. 11 people went to see the play and the total cost was $228.

Let x= # of adults

Let y = # of children


Part A

Which equation represents the total number of people who went to see the play?


a.11x + 22 = 228


b.y = 15x + 11


c.22x + 15y = 228


d.x + y = 11


Part B

Which equation represents the total cost of the trip to the theater?


a.11x + 22 = 228


b.x + y = 11


c.y = 15x + 11


d.22x + 15y = 228

Answer 1

a. 11 people went to see the play. the equation for the number of people who went is x + y = 11 because we don't know how many adults or children.

b. 22 dollars per adult, 15 dollars per child. since we don't know how many kids or how many adults, they're represented by x and y (as shown in part a)

the equation to represent the total cost is 22x + 15y =228 because the total cost to go was 228 and that's the only equation that has both variables and the total cost

Explanation:

I hope this helps :))