Write a system of equations for the following situation.

A 5,000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $152,000?

Question

Write a system of equations for the following situation.

A 5,000-seat theater has tickets for sale at $25 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $152,000?

anonymous · Answer

Let $x$ be the number of $25 tickets needing to be sold and let $y$ be the same for the $40 tickets.
$$25x + 40y = 152000$$
This is the first equation, and is evident from total revenue.

anonymous · Answer

so the 2nd would would be

25x+40y=5000 ?

ganpat · Answer

naaa.. 2nd equation would be x + y = 5000