High School

Directions: Convert the following ingredients from the given volume measures to equivalent weight measures.

[tex]
\[
\begin{array}{|l|c|c|c|}
\hline
\text{Ingredients} & \text{Weight/Volume Information} & \text{Volume} & \text{Weight} \\
\hline
\text{Brown sugar, packed} & 1 \text{ lb. } = 2 \text{ cups} & 1 \text{ pt.} & \\
\hline
\text{Shortening} & 1 \text{ lb. } = 2 \text{ cups} & \frac{1}{2} \text{ cup} & \\
\hline
\text{Salt} & 1 \text{ oz. } = 2 \text{ Tbsp.} & 3 \text{ Tbsp.} & \\
\hline
\text{Baking soda} & 1 \text{ oz. } = 2 \text{ Tbsp.} & 3 \text{ Tbsp.} & \\
\hline
\text{Pastry flour} & 1 \text{ lb. } = 4 \text{ cups} & 2 \text{ qts.} & \\
\hline
\text{Whole eggs} & 1 \text{ lb. } = 8 \text{ eggs} & 6 \text{ eggs} & \\
\hline
\text{Vanilla} & 1 \text{ oz. } = 2 \text{ Tbsp.} & \frac{11}{2} \text{ tsp.} & \\
\hline
\end{array}
\]
[/tex]

Answer :

Sure, let's convert the ingredients from volume measures to equivalent weight measures step-by-step.

1. Brown Sugar, Packed:
- Given: 1 pound (lb) equals 2 cups.
- We have 1 pint (pt), and since 1 pint equals 2 cups, the weight of 1 pint of brown sugar is equivalent to 1 lb.

2. Shortening:
- Given: 1 pound (lb) equals 2 cups.
- We have 1/2 cup. Since 1 cup equals 1/2 lb, 1/2 cup equals 1/4 lb (0.25 lb).

3. Salt:
- Given: 1 ounce (oz) equals 2 tablespoons (Tbsp).
- We have 3 Tbsp. Therefore, 3 Tbsp equates to 1.5 oz (since 1 oz is 2 Tbsp, 3 Tbsp is 1.5 times that).

4. Baking Soda:
- Given: 1 ounce (oz) equals 2 tablespoons (Tbsp).
- We have 3 Tbsp, similar to the salt, meaning it equates to 1.5 oz.

5. Pastry Flour:
- Given: 1 pound (lb) equals 4 cups.
- We have 2 quarts (qts). Since 1 quart equals 4 cups, 2 quarts equal 8 cups. Therefore, 8 cups of pastry flour equals 2 lb.

6. Whole Eggs:
- Given: 1 pound (lb) equals 8 eggs.
- We have 6 eggs. Thus, 6 eggs is 6/8 of a pound, which simplifies to 0.75 lb.

7. Vanilla:
- Given: 1 ounce (oz) equals 2 tablespoons (Tbsp).
- We need to convert 1 1/2 teaspoons (tsp) to tablespoons. Knowing that 1 Tbsp equals 3 tsp, 1 1/2 tsp is 0.5 Tbsp. Thus, 0.5 Tbsp corresponds to 0.25 oz (since 1 oz is 2 Tbsp).

So, the weights for the ingredients are:
- Brown sugar: 1 lb
- Shortening: 0.25 lb
- Salt: 1.5 oz
- Baking soda: 1.5 oz
- Pastry flour: 2 lb
- Whole eggs: 0.75 lb
- Vanilla: 0.25 oz

I hope this explanation helps! Let me know if you have any more questions.