Question

If 10 foresters cut 70 trees in 5 days, how many trees can 15 foresters cut in 3 days?

a) 126
b) 84
c) 105
d) 140

Answer 1

To determine how many trees can be cut by 15 foresters in 3 days, the rate per forester is calculated, and then scaled up to 15 foresters and multiplied by 3 days. The final calculation shows that they can cut 63 trees, which is not an answer option provided, indicating there might be an error in the question or answer choices.

Step-by-step explanation:

To find out how many trees 15 foresters can cut in 3 days, we need to establish the rate at which the foresters are cutting the trees. First, we'll find the daily cutting rate for 10 foresters, then adjust for 15 foresters, and finally calculate the number of trees cut in 3 days.

First, calculate the total daily rate for 10 foresters:

1. 10 foresters cut 70 trees in 5 days.
2. Total trees cut per day by 10 foresters = 70 trees / 5 days = 14 trees per day.

Now, find the rate per forester per day:

1. Rate per forester per day = 14 trees per day / 10 foresters = 1.4 trees per forester per day.

Then, calculate the daily rate for 15 foresters:

1. Daily rate for 15 foresters = 1.4 trees per forester per day * 15 foresters = 21 trees per day.

Finally, calculate the number of trees 15 foresters can cut in 3 days:

1. Number of trees cut in 3 days = 21 trees per day * 3 days = 63 trees.

However, this number, 63, is not given as an option in the multiple-choice answers, suggesting there might have been a calculation error or typo either in the question or the provided options.