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At a zoo, 8 gazelles eat one bale of hay each day. At another zoo, 24 gazelles eat 3 bales of hay each day.
Which proportion represents this situation?

1 answer

To find a proportion that represents the situation described, we need to compare the number of gazelles to the amount of hay they consume.

In the first zoo:

  • 8 gazelles eat 1 bale of hay each day, which means the ratio of gazelles to bales of hay can be represented as: \[ \frac{8 \text{ gazelles}}{1 \text{ bale of hay}} \]

In the second zoo:

  • 24 gazelles eat 3 bales of hay each day, which gives us: \[ \frac{24 \text{ gazelles}}{3 \text{ bales of hay}} \]

To express this situation as a proportion, we can set up a proportion based on the two ratios we have:

\[ \frac{8 \text{ gazelles}}{1 \text{ bale of hay}} = \frac{24 \text{ gazelles}}{3 \text{ bales of hay}} \]

This proportion represents the relationship between the number of gazelles and the amount of hay consumed in each zoo.