Question

The ratio of cats to dogs in the pound is 8:6. In total, there are 66 dogs. how many cats are there in the pound?

Please explain

Answer 1

`88` cats

Explanation:

Remember that a ratio is always given in the simplest form.

`8:6` should be given as `4:3`

So, after dividing each part of a ratio by the HCF, you will have the correct ratio.

We have:

`"cats" " : ""dogs"`
`8" ":" "6`

But we know the actual number of dogs:

`"cats" " : ""dogs"`
`8" ":" "6`
`?" ":" "66`

Note that `6 xx 11 = 66`

Therefore: `8 xx 11 =x`

`88=x`

There are `88` cats