Exercise 17 Page 287

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

Beans	186
Bags	3	1	7	11

We know that we get 186 beans from 3 bags. Let's write this rate as a ratio. 186beans/3bags or 186/3

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 beans we get from 1 bag. We get this when we divide the numerator and the denominator by 3. Notice that we get the unit rate.

186/3

ReduceFrac

a/b=.a / 3./.b / 3.

186 ÷ 3/3 ÷ 3

CalcQuot

Calculate quotient

62/1

We get 62 beans from 1 bag.

Beans	186	62
Bags	3	1	7	11

Second Value

Now we want to find how many beans we get from 7 bags. We can use the unit rate 621 to find this missing value. To do this, we need to get an equivalent rate with a denominator of 7.

62/1

ExpandFrac

a/b=a * 7/b * 7

62* 7/1* 7

Multiply

Multiply

434/7

We get 434 beans from 7 bags.

Beans	186	62	434
Bags	3	1	7	11

Third Value

To find the last value, we use the unit rate 621 again. This time we need an equivalent rate with a denominator of 11.

62/1

ExpandFrac

a/b=a * 11/b * 11

62* 11/1* 11

Multiply

Multiply

682/11

We get 682 beans from 11 bags.

Beans	186	62	434	682
Bags	3	1	7	11