1
00:00:00,000 --> 00:00:00,760


2
00:00:00,760 --> 00:00:03,089
A contractor is purchasing some stone

3
00:00:03,089 --> 00:00:04,779
tiles for a new patio.

4
00:00:04,780 --> 00:00:08,140
Each tile costs $3, and he wants to

5
00:00:08,140 --> 00:00:10,470
spend less than $1,000.

6
00:00:10,470 --> 00:00:15,339
And it's less than $1,000, not less than or equal to $1,000.

7
00:00:15,339 --> 00:00:18,750
The size of each tile is one square foot.

8
00:00:18,750 --> 00:00:21,890
Write an inequality that represents the number of tiles

9
00:00:21,890 --> 00:00:25,800
he can purchase with a $1,000 limit.

10
00:00:25,800 --> 00:00:28,929
And then figure out how large the stone patio can be.

11
00:00:28,929 --> 00:00:35,424
So let x be equal to the number of tiles purchased.

12
00:00:35,424 --> 00:00:39,459


13
00:00:39,460 --> 00:00:43,600
And so the cost of purchasing x tiles, they're going to be

14
00:00:43,600 --> 00:00:46,520
$3 each, so it's going to be 3x.

15
00:00:46,520 --> 00:00:50,200
So 3x is going to be the total cost of purchasing the tiles.

16
00:00:50,200 --> 00:00:53,270
And he wants to spend less than $1,000.

17
00:00:53,270 --> 00:00:55,990
3x is how much he spends if he buys x tiles.

18
00:00:55,990 --> 00:01:01,880
It has to be less than $1,000, we say it right there.

19
00:01:01,880 --> 00:01:04,060
If it was less than or equal to, we'd have a little equal

20
00:01:04,060 --> 00:01:05,159
sign right there.

21
00:01:05,159 --> 00:01:08,189
So if we want to solve for x, how many tiles can he buy?

22
00:01:08,189 --> 00:01:12,849
We can divide both sides of this inequality by 3.

23
00:01:12,849 --> 00:01:15,709
And because we're dividing or multiplying-- you could

24
00:01:15,709 --> 00:01:19,009
imagine we're multiplying by 1/3 or dividing by 3 --

25
00:01:19,010 --> 00:01:22,600
because this is a positive number, we do not have to swap

26
00:01:22,599 --> 00:01:24,009
the inequality sign.

27
00:01:24,010 --> 00:01:30,109
So we are left with x is less than 1,000 over three, which

28
00:01:30,109 --> 00:01:35,090
is 333 and 1/3.

29
00:01:35,090 --> 00:01:40,530
So he has to buy less than 333 and 1/3 tiles, that's how many

30
00:01:40,530 --> 00:01:43,689
tiles, and each tile is one square foot.

31
00:01:43,689 --> 00:01:55,640
So if he can buy less than 333 and 1/3 tiles, then the patio

32
00:01:55,640 --> 00:02:03,319
also has to be less than 333 and 1/3 square feet.

33
00:02:03,319 --> 00:02:06,500
Feet squared, we could say square feet.

34
00:02:06,500 --> 00:02:08,270
And we're done.

35
00:02:08,270 --> 00:02:08,600