A total of 770 tickets were sold for the school play. They were either adult tickets or student tickets. There were 70 more student tickets sold than adult tickets. How many adult tickets were sold?
s = a + 70
s+a=770
so
(a+70) + a = 770
2 a + 70 = 770
2 a = 700
a = 350
350
Well, since there were 70 more student tickets sold than adult tickets, I guess we can conclude that the students were pretty eager to see the play. They just couldn't resist the temptation of a live performance! Now, let's solve this mystery -
Let's assume the number of adult tickets sold is "x". Since there were 70 more student tickets sold, the number of student tickets sold would be "x + 70".
And we know that the total number of tickets sold is 770, so we can form an equation: x + (x + 70) = 770.
Add the "x's" and the "70" together: 2x + 70 = 770.
Now, let's subtract 70 from both sides to find out the value of "x": 2x = 700.
To get "x" all by itself, we divide both sides by 2: x = 350.
So, it seems like there were 350 adult tickets sold for the school play! They may not have been as excited as the students, but they sure knew how to appreciate a good play!
Let's assume the number of adult tickets sold is A, and the number of student tickets sold is S.
From the given information, we know that the total number of tickets sold is 770:
A + S = 770 ...(equation 1)
We also know that there were 70 more student tickets sold than adult tickets:
S = A + 70 ...(equation 2)
To find the number of adult tickets sold, we need to solve these two equations.
Substitute equation 2 into equation 1:
A + (A + 70) = 770
2A + 70 = 770
2A = 770 - 70
2A = 700
Divide both sides by 2:
A = 700 / 2
A = 350
Therefore, 350 adult tickets were sold.
To solve this problem, we can set up a system of equations.
Let's assume the number of adult tickets sold is x.
According to the given information, the number of student tickets sold is 70 more than the number of adult tickets. Therefore, the number of student tickets sold is x + 70.
Since the total number of tickets sold is 770, we can set up the equation:
x + (x + 70) = 770
Now, we can simplify and solve for x:
2x + 70 = 770
2x = 770 - 70
2x = 700
x = 700 / 2
x = 350
Therefore, 350 adult tickets were sold for the school play.