Calculations from information

[flyby]

Hi

Looking for some help with ther following, many thanks in advance.



It is estimated that 1 hectare provides crops for 50 people, if you have 150 hectare how many people does it provide for?

My working.

50 x150 = 7500 people answer

2. If a farm sells of 60% of that crop above, how many people will it provide for now.

Working –

60% of 7500= 4500

therefore 7500-4500= 3000 people answer

3. If a cattle feeds on crops and eventually that cattle is eaten by humans, only 10% of their original protein figure from answer (2) intake is converted into meat protein, how many meat eating people can have their proteins needs met.

10% of 3000= 300 so only 300 provided

4. using answer from parts 2 and and 3 calculate the total number of people now getting their protein needs from the 150 hectare farm.

Answer is 3000-300= 2700

 

[Ishuda]

Hi

Looking for some help with ther following, many thanks in advance.



It is estimated that 1 hectare provides crops for 50 people, if you have 150 hectare how many people does it provide for?

My working.

50 x150 = 7500 people answer

2. If a farm sells of 60% of that crop above, how many people will it provide for now.

Working –

60% of 7500= 4500

therefore 7500-4500= 3000 people answer

3. If a cattle feeds on crops and eventually that cattle is eaten by humans, only 10% of their original protein figure from answer (2) intake is converted into meat protein, how many meat eating people can have their proteins needs met.

10% of 3000= 300 so only 300 provided

4. using answer from parts 2 and and 3 calculate the total number of people now getting their protein needs from the 150 hectare farm.

Answer is 3000-300= 2700

Parts 1 and 2 look good. However, for part 3 we need a 'protein amount' or we can, as you seemed to have assumed, that the '1 hectare provides enough protein for 50 people'. Given that, what you have at the end of question three is either you can get enough protein from 60 hectares [the other 60% of the original 150 hectares produce being sold] of either 3000 people who consume the produce or 300 people who consume cattle but not both.

Thus question 4 needs more information to have a unique answer. The equation becomes, let x be the amount of produce eaten by the people so that 3000 - x is eaten by the cattle. The amount of people supported is then
P = x + 0.1 (3000 - x) = 300 + 0.9 x.
So, if all of the crop is eaten by the people (x=3000) then P = 3000 and if zero crop is eaten by the people [x=0 and all of it goes to cattle] then P=300.

If I'm misunderstanding the questions, please let me know with the correct interpretation.

 

[flyby]

Thank you Ishuda for the help, I do apologise for the question not being clear but please see below

“The cattle that feed on the soya from the figure 3000 are eventually consumed as beef but only 10% of their original protein intake is converted into meat protein. Calculate how many meat-eating people can have their protein needs met from the farm’s cattle feed.

we assume 1 hectare produces protein for 50 people.


Q4

“Using your answers from Q1 and 2 above, calculate the total number of people now getting their protein needs met from the 150-hectare farm.

 

[stapel]

I must be misunderstanding something. How does this use calculus at all? What were you studying recently in your calculus class, that led to this exercise? Thank you!

 

[flyby]

Sorry wasn't sure which area it fell into, this was general maths looking at "wordy" questions and how to pick out what's being asked

 

[stapel]

Okay; it's been moved now to a better category. In future, try to match what you've been studying lately when posting questions. Thank you!