191k views
1 vote
A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?

2 Answers

2 votes

Final answer:

To find the number of adult tickets sold for the school play, the two equations S = A + 65 and A + S = 765 are used, which reveals that 350 adult tickets were sold.

Step-by-step explanation:

The question asks us to determine the number of adult tickets sold when a total of 765 tickets were sold for a school play, and there were 65 more student tickets sold than adult tickets. Let's call the number of adult tickets A and the number of student tickets S. We know that S = A + 65 and that the total number of tickets is A + S = 765.

Substituting the first equation into the second, we have:

A + (A + 65) = 765

2A + 65 = 765

2A = 765 - 65

2A = 700

A = 350

So, 350 adult tickets were sold.

User Navnav
by
3.2k points
2 votes

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

  • a stands for the number of adult tickets sold

student tickets : a + 65

the equation for the prob:

765 = a + (a + 65)

solve:

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

- 65 - 65

700= 2a

divide by 2

700/2 = 2a/2

(700/2 = 350)

(the "2" in 2a is cancelled out by the other 2)

350 = a

User Melvyn
by
3.2k points