Answer: Distributive Property
Let's assume
x represents the number of $25 tickets
y represents the number of $50 tickets
A total of 1,250 tickets
so, we get

So, cost of $25 tickets is 25x
So, cost of $50 tickets is 50y
Total cost of tickets =(cost of $25 tickets)+(cost of $50 tickets)
Total cost of tickets =25x+50y
we are given
worth $50,000, were sold
so, we get equation as

we get system of equations as

..............Answer
I can help explain it if you PM me.
To make the inequality, we will use the ≥ sign to determine how many more tickets we will need. Before we write the inequality, let's see how much money was already made by the present tickets. 70 x 9.50 = $665.
We can write the inequality as $665 + $9.50t ≥ $1000 where t is the number of tickets sold. Now we can solve
$665 + $9.50t ≥ $1000, subtract 665
$9.50t ≥ $335. Now isolate the t by divide 9.50 to both sides
t ≥ 35.26 which we can round up to 36 because you cant sell 35.26 tickets.
So you need at least 36 more tickets to earn at least $1000