Question

During a bake sale, 1 and 1/2 dozen cookies were sold in 1/3 hour. what is the unit rate for the dozens of cookies sold per hour?

Answer 1

The unit rate of cookies sold per hour is 4.5 dozen, calculated by dividing 1.5 dozen by 1/3 hour and multiplying by the reciprocal of 1/3.

Step-by-step explanation:

The question asks to find the unit rate for dozens of cookies sold per hour during a bake sale where 1 and 1/2 dozen cookies were sold in 1/3 hour. To calculate the unit rate, we divide the number of dozens sold by the number of hours. First, we know that 1 and 1/2 dozen is equivalent to 1.5 dozens. Since the cookies were sold in 1/3 hour, to find the hourly rate, we calculate 1.5 divided by 1/3. When dividing by a fraction, we multiply by its reciprocal, hence:

Unit rate per hour = 1.5 dozen × (3/1) = 4.5 dozen per hour

So, the unit rate is 4.5 dozen cookies sold per hour.

Answer 2

Find the number of cookies:


`\text {Cookies = } 1 (1)/(2) \text { dozens}`

Since 1 dozen = 12:


`\text {Cookies = } 1 (1)/(2) * 12`

Change to improper fraction:


`\text {Cookies = } (3)/(2) * (12)/(1)`

Simplify:


`\text {Cookies = } 18`

18 cookies were sold in 1/3 hour:


`(1)/(3) \text { hour = } 18 \text { cookies}`


`\text {1 hour = } 18 * 3 \text { cookies}`


`\text {1 hour = } 54 \text { cookies}`

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Answer: Unit rate for cookies sold = 54/hour
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