Question

In a certain field, the ratio of pigs to sheep is 8/3 . If there are 165 pigs and sheep altogether in a field, how many sheep are there?
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Answer 1

Answer: 45

Step-by-step explanation:

Given : In a certain field, the ratio of pigs to sheep is $\dfrac{8}{3}$.  (1)

Let 3x be the total number of sheep and 8x be the number of pigs in the field.

If there are 165 pigs and sheep altogether in a field, then we have

$3x+8x=165\\\\\Rightarrow\ 11x=165\\\\\Rightarrow\ x=\dfrac{165}{11}=15$

Now, the number of sheep are there = $3x=3(15)=45$

Hence, there are 45 sheep.

Answer 2

There are 8 pigs to every 3 sheep

8 pigs +3 sheep is 11 ÷165 is 15

15×8 is 120

15×3 is 45

so there was 45 sheep