Question

Yellow and red dye are mixed in a 9 : 2 ratio

to make 44 litres of an orange-coloured dye.
A further 8 litres of red dye are added to the
mixture. What is the new ratio of yellow to red
dye in its simplest form?

Answer 1

9 : 4

Explanation:

Ratio:

Find the quantity of yellow and red dye in the mixture.

Yellow : Red = 9 : 2

Total share = 9 + 2 = 11

`\sf \text{Quantiy of yellow} = (9)/(11)*44`

= 9 * 4

= 36 litres

`\sf \text{Quantity of Red}= (2)/(11)*44`

= 2 * 4

= 8 litres.

Now, 8 litres of red dye is added.

New quantity of red dye = 8 + 8 = 16 liters.

New ratio of Yellow to red = 36 : 16

= (36÷4) : (16÷4)

= 9 : 4