A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of each kind must he use to make 100 pounds he can sell for 85 cents per pound?

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05-03-2016
Mathematics

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A grocer has two kinds of candies: one sells for 90 cents per pound and the other sells for 40 cents per pound. How many pounds of each kind must he use to make 100 pounds he can sell for 85 cents per pound?

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raphealnwobi raphealnwobi · Answer 1 · 2022-03-08T11:18:06+01:00

The grocer used 90 pounds of 90 cents per pound candy with 10 pounds of 40 cents per pound candy to make 100 pounds he can sell for 85 cents per pound

Equation

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

Let x represent the pounds of the first candy and y represent the pounds of the second candy, hence:

x + y = 100 (1)

Also:

90x + 40y = 85(100) (2)

From equation 1 and 2:

x = 90, y = 10

The grocer used 90 pounds of 90 cents per pound candy with 10 pounds of 40 cents per pound candy to make 100 pounds he can sell for 85 cents per pound

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