A candy store wants to mix two types of candies that will create a mixture that will sell for $5.60 per pound the first type of candy cost $4 per pound, and the second cost $6 per pound. How many pounds of each must be mixed together to get 10 pounds of this new mixture that will sell for $5.60 per pound?

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15-08-2022
Mathematics

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A candy store wants to mix two types of candies that will create a mixture that will sell for $5.60 per pound the first type of candy cost $4 per pound, and the second cost $6 per pound. How many pounds of each must be mixed together to get 10 pounds of this new mixture that will sell for $5.60 per pound?

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raphealnwobi raphealnwobi · Answer 1 · 2022-08-16T20:48:42+02:00

The candy store would need to mix 2 pounds of candy costing $4 per pound with 8 pounds of candy costing $6 per pound to get 10 pounds of candy costing $5.60 per pound

What is an equation?

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

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let x represent the candy costing $4 per pound and y represent the candy costing $6 per pound. Hence:

4x + 6y = 5.6(10) (1)

Also:

x + y = 10 (2)

From both equations:

x = 2, y = 8

The candy store would need to mix 2 pounds of candy costing $4 per pound with 8 pounds of candy costing $6 per pound to get 10 pounds of candy costing $5.60 per pound

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