The dance committee at Jefferson High School decides to charge students different prices for dance tickets depending on whether they are a student at Jefferson or at another school. A student attending Jefferson pays $5, whereas a student attending a different school pays $10. The dance committee didn't make different kinds of tickets, and they lost track of how many of each kind of ticket they sold. They know they sold a total of 500 tickets and they brought in $3,135. How many Jefferson and non-Jefferson students came to the dance?

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The number of Jefferson students and the number of non-Jefferson students if A student attending Jefferson pays $5, A student attending a different school pays $10 is 373 and 127 respectively.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

A student attending Jefferson pays $5,

A student attending a different school pays $10,

The total number of tickets = 500,

The total money earned = $3135,

Write the equation of the given statement as shown below,

x + y = 500

5x + 10y = 3135

Here, x is the number of Jefferson students and y is the number of non-Jefferson students,

Solve the equation by elimination method as shown below,

y = 127,

x = 500 - 127 = 373

Thus, the number of Jefferson students is 373 and the number of non-Jefferson students is 127.

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