A judge at a baking contest recorded how much baking soda each cookie recipe used.

Question

Amount of baking soda (teaspoons)
1,1 1/2, 1 1/4 , 1, 1 1/4, 1 2/4, 1, 1 1/4, 1 1/4, 1 1/4, 1 1/2, 1 1/2

Use the data in the list to complete the line plot below.
Click to select the X's. To clear a column, click on the number line below it.
Amount of baking soda
, column, empty column, interactive column
If you combine all the baking soda from the recipes that use exactly 1
1
4
teaspoons, how much baking soda will you have in all?
Write your answer as a fraction, mixed number, or whole number.
teaspoons

Answer 1

Let's first convert the amounts of baking soda from your list into improper fractions to make the calculations clearer:

• 1 (teaspoon) = \( \frac{4}{4} \)
• 1 1/2 (teaspoons) = \( \frac{3}{2} \)
• 1 1/4 (teaspoons) = \( \frac{5}{4} \)
• 1 2/4 (teaspoons) = \( \frac{6}{4} \) = 1.5 or \( \frac{3}{2} \)

Now, let's write down the data in order (including the calculated equivalents):

• 1 = \( \frac{4}{4} \)
• 1 1/4 = \( \frac{5}{4} \)
• 1 1/2 = \( \frac{3}{2} \)
• 1 2/4 = \( \frac{6}{4} \)

Now, counting the occurrences in your list:

• 1: 4 occurrences
• 1 1/4: 4 occurrences
• 1 1/2: 4 occurrences (which is also the same as 1 2/4).

Now, only for the recipes that use exactly 1 1/4 teaspoons, which are represented by \( \frac{5}{4} \):

• Count of recipes: 4 occurrences.

To find the total amount of baking soda from the recipes that use exactly 1 1/4 teaspoons: \[ 4 \text{ (occurrences)} \times \frac{5}{4} \text{ (teaspoons)} = \frac{20}{4} \text{ teaspoons} = 5 \text{ teaspoons}. \]

Thus, the total amount of baking soda used in all recipes that use exactly 1 1/4 teaspoons is 5 teaspoons.