A movie theater charges $9 for adults and $7 for seniors. On a particular day when 330 people paid admission, the total receipts were $2502.

How many who paid were adults?

How many who paid were seniors?

Round your answers to the nearest integers.

Question

High School

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Answer :

TaylorSmith778 TaylorSmith778 · Answer 1 · 2023-10-06T17:10:21-04:00

There were 96 adults and 234 seniors who paid at the movie theater.

To solve this problem, we can set up a system of equations:

Let 'a' represent the number of adults and 's' represent the number of seniors.

From the given information, we have:

We can solve this system of equations using the substitution method or the elimination method. Let's use the elimination method:

Multiply Equation 1 by 7 to make the coefficients of 's' in both equations equal:

Subtract Equation 1 from Equation 2:

Divide both sides of the equation by 2:

Now, substitute the value of 'a' back into Equation 1 to find 's':

Therefore, there were 96 adults and 234 seniors who paid at the movie theater.

Learn more about calculating the number of adults and seniors who paid at a movie theater here:

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