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sergey [27]
3 years ago
8

What like break down on answer of question Bobby start in the juice that it takes for 15 minutes to prepare 3 1/4 cups of juice

how many hours would it take how to prepare 32 1/2 cups of juice
Mathematics
1 answer:
Reika [66]3 years ago
8 0
Bobby takes 15 mins to prepare 3 1/4 cups of juice.

Lets find out how long does he takes to prepare 1 cup of juice.

3 \dfrac{1}{4} \text { cups = } 15 \text { mins}

Divide by 3 1/4 on both sides:
\text { 1 cups = } 15 \div 3 \dfrac{1}{4} \text { mins}

Change to improper fraction:
\text { 1 cups = } 15 \div  \dfrac{13}{4} \text { mins}

Change the divide fraction to multiplication fraction:
\text { 1 cups = } 15 \times  \dfrac{4}{13} \text { mins}

Combine into single fraction:
\text { 1 cups = } \dfrac{60}{13} \text { mins}

Find time needed to prepare 32 1/2 cups of juice
\text { 1 cups = } \dfrac{60}{13} \text { mins}

32  \dfrac{1}{2} \text { cups = } \dfrac{60}{13} \times 32  \dfrac{1}{2} \text { mins}


32  \dfrac{1}{2} \text { cups = } \dfrac{60}{13} \times  \dfrac{65}{2} \text { mins}

32  \dfrac{1}{2} \text { cups = } 150 \text { mins}

Convert mins to hours
\text {Number of hours = } 150 \div 60

\text {Number of hours = } 2 \dfrac{1}{2}

\bf \text {Answer: Bobby needs } 2 \dfrac{1}{2} \text { hours to make } 32 \dfrac{1}{2}  \text { cups of juice. }


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