Envision Math 2.0: Grade 6, Volume 2
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Envision Math 2.0: Grade 6, Volume 2 View details
5. Understand Rates and Unit Rates
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Exercise 18 Page 287

We want to complete the table. We can use the portion where both values are known to find the missing values.

Ounces 24.6 123
Bags 1 2 5
We know that we get 24.6 ounces from 2 bags. Let's write this rate as a ratio. 24.6ounces/2bags or 24.6/2

We will use this ratio to find the missing values.

First Value

We can find an equivalent rate with a denominator of 1 to find how many ounces we get from 1 bag. We get this when we divide the numerator and the denominator by 2. Notice that we get the unit rate.
24.6/2
24.6 Ă· 2/2 Ă· 2
12.3/1
We get 12.3 ounces from 1 bag.
Ounces 12.3 24.6 123
Bags 1 2 5

Second Value

Now we want to find how many ounces we get from 5 bags. We can use the unit rate 12.31 to find this missing value. To do this, we need to get an equivalent rate with a denominator of 5.
12.3/1
12.3* 5/1* 5
61.5/5
We get 61.5 ounces from 5 bags.
Ounces 12.3 24.6 61.5 123
Bags 1 2 5

Third Value

To find the last value, we use the unit rate 12.31 again. This time we need an equivalent rate with a numerator of 123. We see that we get this when we multiply the numerator and the denominator by 10.
12.3/1
12.3* 10/1* 10
123/10
We get 123 ounces from 10 bags.
Ounces 12.3 24.6 61.5 123
Bags 1 2 5 10