High School

A movie theater charges $9 for adults and $5 for seniors. On a particular day, when 339 people paid admission, the total receipts were $1915. How many of those who paid were adults, and how many were seniors?

Answer :

The answer will be 55 adults paid admission.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

From the problem, we know that:

The cost for one adult is $9.

The cost for one senior is $5.

A + S = 339 (Equation 1: Total number of people who paid)

9A + 5S = 1915 (Equation 2: Total receipts collected)

To solve for A and S, we can use substitution or elimination. Let's use substitution:

From Equation 1, we can rearrange to get:

A = 339 - S

Now substitute this expression for A into Equation 2:

9(339 - S) + 5S = 1915

Simplify and solve fo S:

3051 - 9S + 5S = 1915

-4S = -1136

S = 284

So 284 seniors paid admission.

To find the number of adults who paid, we can substitute the value of S into Equation 1:

A + 284 = 339

A = 339 - 284

A = 55

Therefore, The answer will be 55 adults paid admission.

Learn more about equations, by the following link

brainly.com/question/2972832

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