High School

The City Music Hall charges $24.00 per adult and $14.00 per senior citizen. One day, 492 people attended a concert, and the total for tickets purchased was $7,878.00. How many senior citizens attended the concert?

A. 393 senior citizens
B. 99 senior citizens
C. 200 senior citizens
D. 292 senior citizens

Answer :

Answer:

Adults (x) = 99 and

Seniors (y) = 393

393 seniors

Step-by-step explanation:

Adults= x

Seniors = y

1) x+ y = 492

2) 24x + 14y = 7,878

1) x = 492 - y

2) 24 (492 - y) + 14 y = 7,878 (substitution)

11808 - 24y + 14y = 7,878

11,808 - 10y = 7,878

11,808 - 7,878 = 10y

3,930/10 = y

y = 393

1) x + 393 = 492 (substitution)

x = 492 - 393

x = 99

Other Questions