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?

Respuesta :

Answer:

9 : 4

Step-by-step explanation:

Ratio:

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

 Yellow : Red = 9 : 2

 Total share = 9 + 2 = 11

    [tex]\sf \text{Quantiy of yellow} = \dfrac{9}{11}*44[/tex]

                                 = 9 * 4

                                = 36 litres

      [tex]\sf \text{Quantity of Red}= \dfrac{2}{11}*44[/tex]

                                  = 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