If 10 students consume 1185kg of meat 21 days, find how much 16 student will consume in 14 days, if consumption takes the same rate.

16*14/x = 10*21/1185

To find out how much 16 students will consume in 14 days, if the consumption rate is the same, we can follow these steps:

1. Determine the consumption rate per student per day:

The total consumption of meat by 10 students in 21 days is 1185 kg. So, the consumption rate per student per day can be found by dividing the total consumption by the number of students and the number of days:

Consumption rate per student per day = 1185 kg / (10 students * 21 days)

2. Calculate the total consumption by 16 students in 14 days:

To determine the total consumption by 16 students in 14 days, we can multiply the consumption rate per student per day by the number of students and the number of days:

Total consumption by 16 students in 14 days = Consumption rate per student per day * (16 students * 14 days)

3. Solve the equation:

Using the calculated consumption rate per student per day from step 1, we can substitute it into the equation from step 2 to find the total consumption by 16 students in 14 days:

Total consumption by 16 students in 14 days = (Consumption rate per student per day) * (16 students * 14 days)

By calculating this equation, you will get the amount of meat that 16 students will consume in 14 days, assuming the consumption rate remains the same.

To find out how much meat 16 students will consume in 14 days, you need to understand the given information and use a proportion to calculate the answer.

First, let's find the rate of meat consumption for 10 students in one day.

Since 10 students consume 1185kg of meat in 21 days, you can calculate their daily consumption by dividing 1185kg by 21 days:
Daily consumption for 10 students = 1185kg / 21 days = 56.43kg (rounded to two decimal places)

Next, we can use this information to calculate the daily consumption for each student:
Daily consumption per student = Daily consumption for 10 students / 10 = 56.43kg / 10 = 5.643kg (rounded to three decimal places)

Now, let's find out how much meat 16 students will consume in one day using the daily consumption per student we just calculated:
Daily consumption for 16 students = Daily consumption per student * 16 = 5.643kg * 16 = 90.288kg (rounded to three decimal places)

Finally, let's calculate how much meat 16 students will consume in 14 days by multiplying the daily consumption for 16 students by 14:
Consumption for 16 students in 14 days = Daily consumption for 16 students * 14 = 90.288kg * 14 = 1264.032kg (rounded to three decimal places)

Therefore, 16 students will consume approximately 1264.032kg of meat in 14 days, assuming the consumption rate remains the same.