A candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate. How many kilograms of each kind of chocolate must they use?

120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

Step-by-step explanation:

We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.

Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.

So, according to the question;

x + y = 150 ------------ [equation 1]

and

x = 120 kg

Now, putting the value of x in equation 1, we get;

x + y = 150

120 + y = 150

y = 30 kg

Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.