MATH SOLVE

2 months ago

Q:
# 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?

Accepted Solution

A:

Find the number of cookies:

[tex]\text {Cookies = } 1 \dfrac{1}{2} \text { dozens}[/tex]

Since 1 dozen = 12:

[tex]\text {Cookies = } 1 \dfrac{1}{2} \times 12[/tex]

Change to improper fraction:

[tex]\text {Cookies = } \dfrac{3}{2} \times \dfrac{12}{1} [/tex]

Simplify:

[tex]\text {Cookies = } 18[/tex]

18 cookies were sold in 1/3 hour:

[tex] \dfrac{1}{3} \text { hour = } 18 \text { cookies}[/tex]

[tex] \text {1 hour = } 18 \times 3 \text { cookies}[/tex]

[tex] \text {1 hour = } 54 \text { cookies}[/tex]

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Answer: Unit rate for cookies sold = 54/hour

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[tex]\text {Cookies = } 1 \dfrac{1}{2} \text { dozens}[/tex]

Since 1 dozen = 12:

[tex]\text {Cookies = } 1 \dfrac{1}{2} \times 12[/tex]

Change to improper fraction:

[tex]\text {Cookies = } \dfrac{3}{2} \times \dfrac{12}{1} [/tex]

Simplify:

[tex]\text {Cookies = } 18[/tex]

18 cookies were sold in 1/3 hour:

[tex] \dfrac{1}{3} \text { hour = } 18 \text { cookies}[/tex]

[tex] \text {1 hour = } 18 \times 3 \text { cookies}[/tex]

[tex] \text {1 hour = } 54 \text { cookies}[/tex]

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Answer: Unit rate for cookies sold = 54/hour

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