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

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

= 0.6

40 % is written in the decimal form

= 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

= 0.8

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

                                                = 4.8 kg

20% is written in the decimal form

= 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

x=-4 and x=6

Step-by-step explanation:

Factor the denominator of the equation and then set them equal to zero and you will get these answers.