Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Nov 05, 2023

Write a system of equations to find the number of adult and student tickets sold for a school musical, given that adult tickets cost $\$ 3.50$ , student tickets cost $\$ 2.50$ , and 321 tickets were sold for a total of $\$ 937.50$ .

STEP 1

Assumptions1. The price of an adult ticket is $3.50. The price of a student ticket is$ .503. The total number of tickets sold is3214. The total revenue from ticket sales is $937.505. Let$ x $represent the number of adult tickets sold and$ y$ represent the number of student tickets sold

STEP 2

First, we can write an equation representing the total number of tickets sold. This is the sum of the adult tickets and student tickets.
$x + y =321$

STEP 3

Next, we can write an equation representing the total revenue from ticket sales. This is the sum of the revenue from adult tickets and student tickets.
$3.50x +2.50y =937.50$ These two equations form a system of equations that can be solved to find the number of adult and student tickets sold.

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