Question

A candy distributor needs to mix a 50% fat-content chocolate with a 60% fat-content chocolate to create 200 kilograms of a 51% fat-content chocolate. How many kilograms of each kind of chocolate must they use? A) Write an equation that uses the information as it is given above that can be used to solve this problem. Use as your variable to represent the quantity of 50% fat-content chocolate. Equation: B) Answer: They must mix Kilograms of the 50% chocolate and Kilograms of the 60% chocolate

Answer 1

The candy distributor needs to mix 180 kg of 50% fat and 20 kg of 60% fat needed to create 200 kilograms of a 51% fat-content chocolate.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Let x represent the amount of 50% fat and y represent the amount of 60% fat needed to create 200 kilograms of a 51% fat-content chocolate. Hence:

x + y = 200     (1)

Also:

0.5x + 0.6y = 200(0.51)    (2)

From both equations:

x = 180, y= 20

The candy distributor needs to mix 180 kg of 50% fat and 20 kg of 60% fat needed to create 200 kilograms of a 51% fat-content chocolate.

Find out more on equation at: brainly.com/question/2972832

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