Sari wrote the equivalent ratios below to convert cups to fluid ounces.

StartFraction 8 fluid ounces Over 1 cup EndFraction = StartFraction question mark fluid ounces Over 9 cups EndFraction

How many fluid ounces are in 9 cups?
64 fluid ounces
72 fluid ounces
80 fluid ounces
81 fluid ounces

1 answer

To find out how many fluid ounces are in 9 cups, we can use the equivalent ratio given:

\[ \frac{8 \text{ fluid ounces}}{1 \text{ cup}} = \frac{x \text{ fluid ounces}}{9 \text{ cups}} \]

To find \(x\), we can set up the proportion:

\[ 8 \text{ fluid ounces} \times 9 \text{ cups} = x \text{ fluid ounces} \times 1 \text{ cup} \]

This simplifies to:

\[ 8 \times 9 = x \]

Calculating this gives:

\[ x = 72 \text{ fluid ounces} \]

Thus, there are 72 fluid ounces in 9 cups. Therefore, the correct answer is 72 fluid ounces.