Questions: Correct An English teacher must read and grade 35 essays. If the teacher takes 23 minutes to read and grade 5 essays, how much time will h need to grade all 35 essays?

Solution Steps

To find out how much time the teacher will need to grade all 35 essays, we can use a proportion based on the given information. We know the teacher takes 23 minutes to grade 5 essays. We can set up a proportion to find the time for 35 essays.

The teacher takes \( 23 \) minutes to grade \( 5 \) essays. Therefore, the time taken to grade \( 1 \) essay is calculated as follows:

\[ \text{Time per essay} = \frac{23}{5} = 4.6 \text{ minutes} \]

To find the total time required to grade \( 35 \) essays, we multiply the time per essay by the total number of essays:

\[ \text{Total time} = 4.6 \times 35 = 161.0 \text{ minutes} \]

Final Answer