Question

i)in mathematical language the problem is
|the number of cows 8 and 10 |time(in days) 15 and72|quantity of straw(kahan)4 x.
(a)Write the proportionality relation between the number of cows and the quantity of straw if time is constant.
(b)Write the proportionality relation between time and the quantity of straw if the number of cows in constant.



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Answer 1

Answer:

a) No.of cows and Quantity of Straw is directly proportional

b) Time and Quantity of Straw is directly proportional.

Answer 2

From the given question the correct answer is:

if time is constant the no. of cows and the quantity of of starw are directly proportional.

if cows are constant then quantity of straw and time are directly proportional.

if 8 cows can do 4 straw the 10 cows will do more

no of cows ∝ quantity of straw

i.e 8:10 ∝ 4:x

    8:10 : : 4:x

     8/10=4/x

     8x=10×4

      8x=40

       x=40/8

       x=5

b)   if 4 quantity of straw done in 15 days.

then, more quantity will be done in 72 days

no.of .days (time) ∝ quantity of straw

i.e 15:72 :: 4:x

    15/72 =4/x

     15x=4×72

       15x=288

        x=288/15

          x=19.5

Hence,The no of cows ∝  quantity of straw ∝  time.

 All are directly proportional.