magreth magreth
  • 06-01-2019
  • Mathematics
contestada

9people cultivated a farm in 28days how many days will 12people take to cultivate the same farm?

Respuesta :

jimrgrant1 jimrgrant1
  • 06-01-2019

Answer:

21 days

Step-by-step explanation:

This is an inverse proportion, since the number of days required will be less the more people there are.

let number of people be p and days be d, then the equation is

d = [tex]\frac{k}{p}[/tex] ← k is the constant of proportionality

to find k use the condition d = 28 when p = 9, hence

k = dp = 28 × 9 = 252

hence d = [tex]\frac{252}{p}[/tex]

when p = 12, then

d = [tex]\frac{252}{12}[/tex] = 21 days



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