Question

Movie Theater Tickets A movie theater charges 9.00 dollar for adults and 7.00 dollar for senior citizens. On a day when 325 people paid for admission, the total receipts were 2495 dollar . How many who paid were adults? How many were seniors?

Name: Problem 60, Chapter 11: Precalculus
Uploaded: 2021-05-30T20:49:50-08:00
Duration: 2 min 2 s
Channel: Erika Bustos
Description: Movie Theater Tickets A movie theater charges 9.00 dollar for adults and 7.00 dollar for senior citizens. On a day when 325 people paid for admission, the total receipts were 2495 dollar . How many who paid were adults? How many were seniors?

   Movie Theater Tickets A movie theater charges 9.00 dollar for adults and 7.00 dollar  for senior citizens. On a day when 325 people paid for admission, the total receipts were  2495 dollar . How many who paid were adults? How many were seniors?

Precalculus

Michael Sullivan 10th Edition

Chapter 11, Problem 60

Instant Answer

Solved by Expert Erika Bustos

05/30/2021

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Step 1: Let's use the variables A for the number of adults and S for the number of seniors. Show more…

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Movie Theater Tickets A movie theater charges 9.00 dollar for adults and 7.00 dollar for senior citizens. On a day when 325 people paid for admission, the total receipts were 2495 dollar . How many who paid were adults? How many were seniors?

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Key Concepts

Elimination and Substitution Methods

These are standard techniques for solving systems of linear equations. The elimination method focuses on removing one variable by combining equations, while the substitution method involves solving one equation for a variable and replacing that variable in another equation, thereby reducing the system to a single equation.

Algebraic Modeling

Algebraic modeling translates real-world scenarios into mathematical terms. By assigning variables to unknown quantities and using given information to set up equations, one can systematically represent and solve problems.

System of Linear Equations

This concept involves establishing a set of equations where each equation represents a condition or constraint from a problem. These equations share common variables, and solving the system means finding the values of these variables that satisfy all equations simultaneously.

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