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, :

Respuesta :

Answer:

White Kg, :  1.2

Green Kg, :  2

Black kg, : 2.8

Step-by-step 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:

[tex]\frac{\text{Concerned Part}}{\text{Total Parts}} \times \text{Total Amount}[/tex]

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 = [tex]\frac{3}{15} \times 6 = 1.2[/tex] kg

Kilograms of Green tea = [tex]\frac{5}{15} \times 6 = 2[/tex] kg

Kilograms of Black tea = [tex]\frac{7}{15} \times 6 = 2.8[/tex] kg

Answer:

White: 6/5 kg; Green: 2 kg; Black: 14/ kg

Step-by-step explanation:

First ratio: 3:5:7

Multiply by 2: 6:10:14

6+10+14=30

30/5=6

6:10:14/5

6/5:2:14/5

6/5+14/5=20/5=4

4+2=6