I was asked by s student to solve this question based on ration proportion and my answer was 5:1 although not sure.
The question was,
The ratio of goats to sheep is 4:3.sheep to cows 5:2.cows to donkeys 3:2.
Find the ratio of g:d?
Kindly,is it correct?
Simplifying more than three ratios
ratio
Best Answer
If you want an answer that rehearses the logic behind why you can just multiply the ratios that stays in the integers, here is such an answer:
For every 2 donkeys, you have 3 cows. For every 2 cows, you have 5 sheep. So for every 6 cows you have 15 sheep, or 4 donkeys. For every 3 sheep you have 4 goats, so for 15 sheep (or 4 donkeys, or 6 cows) you have 20 goats.
So, we've shown that for every 20 goats you have 4 donkeys, so for every 5 goats you have 1 donkey, so goats, donkeys are in ratio 5:1.
You can generalise this argument to persuade yourself that you can always just multiply the ratios A:B, B:C to get to ratio A:C, or indeed that $$A_1:A_n=(A_1:A_2 )\times (A_2:A_3) \times \cdots \times (A_{n-1}:A_n)$$