Question

A total of 291 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student tickets sold was two times the number of adult tickets sold. how many adult tickets were sold?

Answer 1

To solve this problem, we should set up a system of equations. For this problem, let the variable a represent the number of adult tickets sold and the variable s represent the number of student tickets sold. From the given information, we can construct the following two equations:

a + s = 291

s = 2a

We can substitute in the value of s in terms of a given by the second equation into the first equation to simplify.

a + s = 291

a + 2a = 291

We should combine like terms on the left side of the equation and divide by the coefficient.

a + 2a = 291

3a = 291

a = 97

We can then substitute this value for a into either one of our original equations to solve for s.

a + s = 291

97 + s = 291

s = 194

Therefore, 97 adult tickets were sold and 194 student tickets were sold.

Hope this helps!