A photographer can take 12 pictures in 5 minutes. How long will it take to take 132 pictures?
Understand the Problem
The question is asking us to calculate the time it will take for a photographer to take 132 pictures based on the rate of 12 pictures every 5 minutes. To solve this, we first need to determine how many sets of 12 pictures fit into 132 and then multiply that by the time taken for each set.
Answer
The total time taken is 55 minutes.
Answer for screen readers
The total time taken to photograph 132 pictures is 55 minutes.
Steps to Solve
- Determine the number of sets of pictures
First, we need to find out how many sets of 12 pictures fit into 132 pictures. We do this by dividing the total number of pictures by the number of pictures in each set:
$$ \text{Number of sets} = \frac{132}{12} $$
- Calculate the time for each set
Next, we know from the problem statement that each set of 12 pictures takes 5 minutes to photograph.
- Find the total time
Now, we multiply the number of sets by the time for each set to find the total time it takes:
$$ \text{Total time} = \text{Number of sets} \times 5 $$
- Final calculation
After substituting the number of sets back into the above equation, we can find the total time taken:
$$ \text{Total time} = \left(\frac{132}{12}\right) \times 5 $$
The total time taken to photograph 132 pictures is 55 minutes.
More Information
The photographer's rate can be interpreted as timing efficiency in photography. The solution illustrates how to break down a larger task (taking 132 pictures) into standardized units (sets of 12). This kind of analysis can be useful in scheduling and budgeting time for large tasks.
Tips
- Forgetting to multiply the number of sets by the time per set: Ensure that after finding the number of sets, you always calculate the total time required by multiplying it appropriately.
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