Newton's task

Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze meadow for 77 days?

Correct answer:

n =  90

Step-by-step explanation:

d=991495221422=88 s=9914d14=154  n=s+d7777=90

99•14 = a+14•b
95•22 = a+22•b
n•77 = a+77•b

a+14b = 1386
a+22b = 2090
a+77b-77n = 0

a = 154
b = 88
n = 90

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