The owner of a shop wants to mix cashews and pecans to make 8 kg of mixed nuts worth $7.25 per kg. if the price of cashews is $8.00 per kg and the price of pecans is $7.00 per kg, how many kilograms of each should he take?

6 kg pecans,

2 kg cashews.

Step-by-step explanation:

Let x be the weight of cashews and y be the weight of pecans in kg.

We have been given that the owner of a shop wants to mix cashews and pecans to make 8 kg of mixed nuts. We can represent this information in an equation as:

We are also told that the mixed nuts worth $7.25 per kg, so the price of 8 kg of mixed nuts will be .

Since the price of cashews is $8.00 per kg and the price of pecans is $7.00 per kg, so we can represent this information in an equation as:

Now we will use substitution method to solve system of equations.

From equation (1) we will get,

Substituting this value in equation (2) we will get,

Therefore, the owner should take 6 kg of pecans.

Upon substituting in equation (1) we will get,

Therefore, the owner should take 2 kg of cashews.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2