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pantera1 [17]
3 years ago
10

A total of 291 tickets were sold for the school play. they were either adult tickets or student tickets. the number of student t

ickets sold was two times the number of adult tickets sold. how many adult tickets were sold?
Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

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!

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