00:01
In this problem, we're given a situation where we are selling children's tickets and adult tickets.
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We're told that for the children tickets, they're being sold for $2 each.
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For the adult tickets, they're being sold for $4 .50 each.
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And we learned that we are selling a total of 364 tickets, and the amount of money we're making total is $1 ,175.
00:43
$0 .50.
00:44
So we need to first define a variable.
00:49
So we're going to say that let a represent the adult tickets.
00:57
I'm going to do shorthand ticks.
01:00
Now we'll write all the word for tickets.
01:04
And then we're going to let c represent the children's tickets.
01:12
We like to go in alphabetical order in math.
01:16
So that's why i'm reordering and doing a and then c.
01:21
So we're told that the adult tickets are 450 each, so we can say that it's 4 .50a for the price and then 2 .00c.
01:36
It'd be easier to just write them as 4 .5a for the adult price and then 2c for the children's price.
01:46
All right, so from there, we need to write our equations.
01:52
We know that when we add together the adult tickets plus the children's tickets, we need to have a total of 364.
02:06
We also know when we take the adult prices and add the children's prices, we need to have a total of 175 -0.
02:23
So now we have our systems of equations.
02:27
A plus c equals 364.
02:33
4 .5a plus 2c is equal to 1 ,175 .5...