If 10 students consume 1185kg of meat in 21days, find how much 16 students will consume in 14days,if consumption takes the same rate.
1185/(10*21) = x/(16*14)
x = 1284 kg
or,
2/3 the time, so 2/3 the meat: 1185 * 2/3 = 790 kg for 10 students in 21 days
16/10 the people, so 16/10 the meat: 1264 kg
I think the answer is too simple it is 1264kg
To find out how much meat 16 students will consume in 14 days, we'll follow these steps:
Step 1: Calculate the consumption rate per student per day.
To find the consumption rate, divide the total meat consumed by the total number of students and the number of days:
Consumption rate per student per day = Total meat consumed / (Number of students * Number of days)
Consumption rate per student per day = 1185 kg / (10 students * 21 days)
Consumption rate per student per day = 5.65 kg/student/day
Step 2: Calculate the total meat consumption for 16 students in 14 days.
To find the total meat consumption, multiply the consumption rate per student per day by the number of students and the number of days:
Total meat consumption for 16 students in 14 days = Consumption rate per student per day * (Number of students * Number of days)
Total meat consumption for 16 students in 14 days = 5.65 kg/student/day * (16 students * 14 days)
Total meat consumption for 16 students in 14 days = 1260.8 kg
Therefore, 16 students will consume 1260.8 kg of meat in 14 days if consumption takes the same rate.
To solve this problem, first, let's find the rate of consumption of meat for one student per day.
The total consumption of meat in 21 days for 10 students is 1185 kg. So, the daily consumption of meat by one student can be calculated by dividing the total consumption by the number of days and the number of students.
Daily consumption for one student = Total consumption / (Number of students * Number of days)
Daily consumption for one student = 1185 kg / (10 students * 21 days)
Daily consumption for one student = 5.6429 kg (rounded to 4 decimal places)
Now, let's calculate the total consumption of meat by 16 students in 14 days, assuming they consume at the same rate per student per day.
Total consumption for 16 students in 14 days = Daily consumption for one student * (Number of students * Number of days)
Total consumption for 16 students in 14 days = 5.6429 kg * (16 students * 14 days)
Total consumption for 16 students in 14 days = 1264 kg (rounded to the nearest whole number)
Therefore, 16 students will consume approximately 1264 kg of meat in 14 days, assuming the consumption rate remains the same.