00:01
Okay, so i see that you need help with this problem, and it says a banquet hall offers two types of tables for rent.
00:07
There is a six -person rectangular table that costs $30 each and a 10 -person round table that costs $51 each.
00:16
Kathleen would like to rent the hall for the wedding.
00:18
It needs tables for 250 people.
00:22
The room can have a maximum of 35 tables, and the hall only has 15 rectangular tables.
00:30
Available.
00:32
How many of each type of table should be rented to minimize the cost and what is the minimum cost? okay.
00:42
So we're going to set up a table here.
00:51
So we're going to do work with the round tables.
01:00
Okay.
01:01
And we're going to work with, i'm just going to create some, this is the total cost.
01:08
So number of round the cost for each the number of people okay and then we'll also work with actually i'm going to move the number of people down here and i'm going to move each one down so number of round number of rectangular cost and people so say i wanted to go with all round.
01:53
So 250 divided by 10.
01:56
So 250 divided by 10 is going to be 25 tables.
02:02
Okay.
02:04
So 25 round tables, they cost $51 each.
02:12
And 25 times 51 is $1 ,275.
02:19
Okay.
02:20
So that's if you just get round.
02:22
Okay.
02:24
So now let's talk about rectangular tables you can only get a maximum of 15 rectangular tables so 15 okay and that was for all 250 people okay so 15 rectangular tables is good enough for 15 times six is um 90 people okay they cost 30 dollars each okay so that is 15 times 30 is $450 all right but i have 250 minus 90 and that gives me 160 people left i'm going to divide that by 10 and i need another 16 tables 15 plus 16 is still only 31 so we're good with that um oops 16 round.
03:28
Let me erase this.
03:29
This goes in the wrong spot.
03:33
And so that's 51.
03:36
And so that's for 160 people.
03:38
Okay.
03:39
So now i got my 250...