Question

A grocer mixed 3 types of white, green and black tea in 3:5:7 ratio, respectively. How many kilograms of each are needed to make 6 kg of that mixture?

White Kg, :
Green Kg, :
Black kg, :

Answer 1

White Kg, : 1.2

Green Kg, : 2

Black kg, : 2.8

Explanation:

Ratio of amount of white, green and black tea is 3 : 5 : 7

This means, out of every 3+5+7= 15 parts, 3 parts are white tea, 5 parts are green tea and 7 parts are black tea.

We have to find, how many kilograms of each tea are needed to make a total of 6 kg of the mixture keeping the above ratio.

The formula to this is:

`\frac{\text{Concerned Part}}{\text{Total Parts}} * \text{Total Amount}`

For example, for white tea, the concerned part in the ratio is 3, for green its 5 and for black tea its 7. Total parts remain 15 in three cases. The total amount is also fixed which is 6kg.

Using these values, we get:

Kilograms of White tea =
`(3)/(15) * 6 = 1.2` kg

Kilograms of Green tea =
`(5)/(15) * 6 = 2` kg

Kilograms of Black tea =
`(7)/(15) * 6 = 2.8` kg