Five chickens eat 10 bags of scratch in 20 days. How long does it take 18 chickens to eat 100 bags of scratch?
5 chickens eats 10 bags in 20 days
1 chicken eats 2 bags in 20 days
18 chickens eat 36 bags in 20 days
100 bags/36 bags=2 7/9 times as many bags so it will take 2 7/9 times as many days
(2 7/9)*20=(25/9)*(20)=500/9=55 5/9 days
Cited from Wyzant
Hope it helps!
(10 b /20 d ) / 5c = 1/10 b / cd
1/10 b / (cd) * 18 c = 1.8 b/d
100 b / (1.8 b/d) = 55.56 d