WEBVTT
00:00:00.851 --> 00:00:04.461
For every seven bags, Isabella has five pairs of shoes.
00:00:05.041 --> 00:00:09.521
What is the ratio of the bags to the total number of bags and shoes?
00:00:09.981 --> 00:00:15.891
Here, we’re looking for a ratio and we know that a ratio is a comparison of two different quantities.
00:00:16.241 --> 00:00:22.661
When solving ratio problems, we always need to carefully identify what quantities we are comparing.
00:00:23.161 --> 00:00:31.261
Our ratio will be of the bags to the total number of bags and shoes.
00:00:31.811 --> 00:00:39.971
Our first value is the number of bags, but our second value will be the number of bags and shoes together.
00:00:40.591 --> 00:00:45.941
We know that for every seven bags, Isabella has five pairs of shoes.
00:00:46.551 --> 00:00:49.671
We can write seven in place of the number of bags.
00:00:50.081 --> 00:00:54.751
But for the total, we’ll need seven and then five.
00:00:55.621 --> 00:00:57.511
Seven plus five is 12.
00:00:58.231 --> 00:01:01.611
This ratio is then seven to 12.
00:01:02.281 --> 00:01:10.131
Again, the key to solving this problem is correctly identifying what each piece of the ratio is.
00:01:10.621 --> 00:01:14.511
We knew that the first piece represented the number of bags Isabella had.
00:01:14.991 --> 00:01:27.991
But we had to know that the second piece, the second quantity we were comparing, were bags and shoes, a total value, which required an additional step of adding the shoes and the bags.
00:01:28.711 --> 00:01:34.241
When we look at seven and 12, they do not have any common factors apart from one.
00:01:34.241 --> 00:01:38.511
And therefore, seven to 12 is in its simplest form.