Question

In a camp ,there is enough flour for 300 persons for 42 days.How long will the flour last if 20 more persons join the camp

Answer 1

Answer/Step-by-step explanation:

Direct proportion: If a variable increases then other variable also increases with a constant factor  i.e.  y = kx

Inverse proportion:  if a variable increases then other variable decreases with a  constant factor  i.e   xy = k

Assume that food will last for d days if 20 more persons join the camp.

Understand the fact that for given food number of days food last is inversely proportional to the number of persons hence product of days food lasts and number of persons is constant,

Days x number of persons = constant

Equate the product of 300 persons and 42 days  with (300 + 20) person and d days to solve for d.

$(300+20) *d=300*42$

⇒ $d = \frac{12600}{320}$

⇒ $d =\frac{1260}{32}$

⇒ $d=\frac{315}{8}$

⇒ $d=39.375$ $days$ $or$ $39(\frac{3}{8} )days$ $in$ $fraction$

Hence, if 20 more people Join (320 people ) it will last 39.375 days in decimal or 39 3/8 days in fraction

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