Math Word problem including equations - Algebra 1

Question

Can I have help on this math question? Here it is (Haris was selling tickets for the school play. She sold 15 more adult tickets than children tickets and she sold three times as many senior tickets as children tickets. In total, she sold 300 tickets. Write an equation that could be used to determine the number of children's tickets sold.

Answer 1

Let A, S, and C stand for adult, senior and children tickets sold, respectively.

Translate English into math (equation)

A = C + 15

S = 3C

A + C + S = 300

Substitute

C + 15 + C + 3C = 300

5C = 285

C = 57

A = 72

S = 171

 

Please make sure that the answers total 300!

Answer 2

Let x = number of children's tickets

 

Then, number of adult tickets = x+15 and number of senior tickets = 3x

 

So, x + (x+15) + 3x = 300

 

                 5x + 15 = 300 is an equation which can be used to determine the number of children's tickets sold