Question

The second doughnut-glazing machine can glaze 75 dozen doughnuts in 2 hours Based on this rate what is the total number of hours it will take the second machine to glaze 135 dozen doughnuts ? Show or explain how you got you answer

Answer 1

Step 1: calculate the amount of doughnuts in one hour

`\begin{gathered} \text{For two hours = }75\text{ dozen doughnuts} \\ \text{for one hour it will be=}(75)/(2)dozen\text{ doughnuts} \\ =37.5\text{ dozen doughnuts per hour} \end{gathered}`

To calculate the number of hours for 135 dozen doughnuts, we will have

`\text{Number of hours =}\frac{\text{amount of dozen doughnut}}{Number\text{ of doughnuts per hour}}`

Hence,

`\begin{gathered} \text{Number of hours =}\frac{\text{135 dozen doughnuts}}{37.5\text{ dozen doughnuts per hour}} \\ \text{Number of hours}=(18)/(5)\text{hours} \\ \text{Number of hours}=3(3)/(5)hours \\ =3.6\text{hours or 3 hours 36 minutes} \end{gathered}`

Therefore,

The number of hours to glaze 135 dozen doughnuts is=3.6hours or 3 hours 36minutes