URGENT!!! PLEASE EXPLAIN

Question

The MTC Theater holds 250 people and last night's performance still out! Students under the age of 16 paid $2.50 per ticket while everyone else pair $4.00 per ticket. Last night's show brought $910 Define your variables, and write two equations to represent the given information in this situation

Answer 1

Hi Ricardo, let x represent the number of tickets sold to students under the age of 16. Let y represent those over the age of 16.

Equation 1, number of tickets sold:

The total number of tickets sold to students under the age of 16 plus the number of tickets sold to students over 16 must equal 250 (since the theater was sold out). The equation becomes:

x + y = 250

Equation 2, revenue from tickets sold.

The total revenue was $910. The cost of tickets under 16 is $2.50 and the cost of tickets over 16 is $4.00. The equation becomes:

2.50 * x + 4.00 * y = 910.00

The system of equations to solve is:

x + y = 250

2.50 * x + 4.00 * y = 910.00

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