Answer: $10 = 1,546 tickets sold
$20 = 1,691 tickets sold
Step-by-step explanation:
1. Let's re-evaluate and organize our information given by the passage.
<h3>PRICE</h3>
Reg. tickets = $10 and $20
VIP seats = $30
Tickets sold (# of <em>all </em>tickets) = 3,237 tickets
Tickets sold OVERALL = 145 more $20 tickets sold than $10 tickets
Money made = $62,030
1. We need to represent x as the amount of the $10 tickets being sold, and y being the amount of $20 tickets being sold, so it'll look similarly like this:
x + y ( x + 145 ) = 3,237
<h3>Remember, the number of the $10 tickets and the number of $20 tickets being sold needs to equal 3,237.</h3>
2. Now, let's make estimates on what the # of tickets being for the $10 tickets is <em>(because the # of $10 being sold affects the # of the $20 tickets being sold, and we have to start with this step first to in order find the number of $20 tickets sold)</em>.
3.
x = 1,000
y = 1,145
1,000 + 1,145= 2,145
<h3>NOT 1,000 (HIGHER THAN 1,000)</h3>
x = 2,000
y = 2,145
2,000 + 2,145 = 4,145
<h3>NOT 2,000 (LOWER THAN 2,000)</h3>
From these 2 estimates, the sales of x is between 1,000 and 2,000.
x = 1,546
y = 1,691
1,546 + 1,691 = 3,237 tickets