Question

Dons signature coffee blend is 60% dark roast and 40% light roast. He has 10 kg of blend A, which is 80% dark roast and 20% light roast, and 10 kg of blend B, which is 20% dark roast and 80% light roast. How many kilograms of blend A will don need to use to make 10 kg of his signature blend

Answer 1

Find out the how many kilograms of blend A will don need to use to make 10 kg of his signature blend .

To proof

As given

Dons signature coffee blend is 60% dark roast and 40% light roast.

He has 10 kg

60 % is written in the decimal form

`= (60)/(100)`

= 0.6

40 % is written in the decimal form

`= (40)/(100)`

= 0.4

Now 60% dark roast of 10 kg = 0.6 ×10

= 6 kg

Now 40% of 10 kg = 0.4 × 10

= 4 kg

As given

He has 10 kg of blend A, which is 80% dark roast and 20% light roast i.e 80% of the 6kg is dark roast and 20% of the 4kg is light roast .

80% is written in the decimal form

`= (80)/(100)`

= 0.8

80% of the 6kg is dark roast = 0.8 × 6

= 4.8 kg

20% is written in the decimal form

`= (20)/(100)`

= 0.2

20% of the 4kg is light roast = 0.2 × 4

= .8kg

Total kilograms of blend A will don need to use to make 10 kg of his signature blend = 4.8 kg + .8 kg

= 5.6 kg

Hence proved