The coffee counter charges $9 per pound for French roast coffee and $8 per pound for Sumatran coffee. How much of each type of coffee should be used to make 20 L blend that sells for $8.30 a pound?

6 pounds of French roast coffee and 14 pounds of Sumatran coffee was used.

Step-by-step explanation:

Let x represent the number of pounds of French roast coffee that should be added in the blend.

Let y represent the number of pounds of Sumatran coffee that should be added in the blend.

The total number of pounds of the mixture made is 20 lb. This means that

x + y = 20

The mixture sells for $8.30 a pound. The total cost of the mixture would be

8.3 × 20 = 166

This means that

9x + 8y = 166 - - - - - - - - -1

Substituting x = 20 - y into equation 1, it becomes

9(20 - y) + 8y = 166

180 - 9y + 8y = 166

- 9y + 8y = 166 - 180

- y = - 14

y = 14

x = 20 - y = 20 - 14

x = 6

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq