Math  /  Numbers & Operations

QuestionSteve is making a chicken soup. The recipe calls for 1 quart of broth, but his measuring cup is only labeled in ounces. Which conversion correctly demonstrates how to find the number of ounces of broth Steve will need?
VOLUME OF LIQUIDS \begin{tabular}{|c|c|c|c|} \hline RELATIONSHIPS & \multicolumn{3}{|l|}{CONVERSION FACTORS} \\ \hline 1 cup =8=8 fluid ounces & 1c.8fl.oz\frac{1 \mathrm{c} .}{8 \mathrm{fl} . \mathrm{oz}} & or & 8fl.oz.1c.\frac{8 \mathrm{fl} . \mathrm{oz} .}{1 \mathrm{c} .} \\ \hline & 1 pt. & or & 2 c. \\ \hline 1 pint =2=2 cups & 2 c . & & 1 pt . \\ \hline & 4 at. & & 4 c \\ \hline 1 quart = 4 cups & 4 c . & & 1 at. \\ \hline & 1 gal . & & 4 at. \\ \hline 1 gallon = 4 quarts & 4 at. & & 1 gal . \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The recipe requires 1 1 quart of broth.
2. Steve's measuring cup is labeled in ounces.
3. We need to convert quarts to ounces using the provided conversion factors.

STEP 2

1. Identify the necessary conversion factors.
2. Set up the conversion calculation.
3. Perform the conversion to find the number of ounces.

STEP 3

Identify the conversion factors needed to convert quarts to ounces. From the table, we know:
- 1 1 quart =4 = 4 cups - 1 1 cup =8 = 8 fluid ounces

STEP 4

Set up the conversion calculation using the identified conversion factors.
Start with 1 1 quart and convert it to cups:
1 quart×4 cups1 quart=4 cups 1 \text{ quart} \times \frac{4 \text{ cups}}{1 \text{ quart}} = 4 \text{ cups}
Then convert cups to ounces:
4 cups×8 ounces1 cup=32 ounces 4 \text{ cups} \times \frac{8 \text{ ounces}}{1 \text{ cup}} = 32 \text{ ounces}

STEP 5

Perform the conversion to find the number of ounces.
The number of ounces of broth Steve will need is:
32 ounces \boxed{32 \text{ ounces}}

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