To find out who cleans fewer vessels, we can calculate the number of vessels each person cleans per minute and compare them.
For Ann:
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Ann cleans 9 vessels in 10 minutes.
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Therefore, the rate at which Ann cleans is:
\[ \text{Rate of Ann} = \frac{9 \text{ vessels}}{10 \text{ minutes}} = 0.9 \text{ vessels per minute} \]
For Kathy:
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Kathy cleans 12 vessels in 14 minutes.
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Therefore, the rate at which Kathy cleans is:
\[ \text{Rate of Kathy} = \frac{12 \text{ vessels}}{14 \text{ minutes}} = \frac{12}{14} \text{ vessels per minute} = \frac{6}{7} \text{ vessels per minute} \approx 0.857 \text{ vessels per minute} \]
Now we can compare their cleaning rates:
- Ann cleans at a rate of 0.9 vessels per minute.
- Kathy cleans at a rate of approximately 0.857 vessels per minute.
Since 0.857 is less than 0.9, Kathy cleans fewer vessels per minute than Ann.
Thus, Kathy cleans fewer vessels.