Question

The owner of a candy store is creating a candy medley that costs $2.45 per kilogram. The medley contains jelly beans at $3.25 per kilogram, plus gumdrops at $1.25 per kilogram. If there are 9 kilograms of jelly beans available, how many kilograms of gumdrops will the owner need to use?

A) 4.5 kilograms
B) 6.0 kilograms
C) 6.5 kilograms
D) 7.5 kilograms

Answer 1

To create a candy medley that costs $2.45 per kilogram, including 9 kilograms of jelly beans at $3.25 per kilogram and gumdrops at $1.25 per kilogram, the owner needs 6 kilograms of gumdrops. Solving the equation (9 * 3.25 + x * 1.25 = (9 + x) * 2.45) for x yields the answer.

Step-by-step explanation:

To solve the problem of how many kilograms of gumdrops the owner of a candy store needs to use to create a candy medley that costs $2.45 per kilogram, we set up an equation to represent the cost of the mixed candies. We know there are 9 kilograms of jelly beans at $3.25 per kilogram and gumdrops at $1.25 per kilogram. Let's denote the number of kilograms of gumdrops as x. The total cost of the candy medley can be represented by the equation:

9 * 3.25 + x * 1.25 = (9 + x) * 2.45

We can now solve for x by simplifying and solving the equation:

29.25 + 1.25x = 22.05 + 2.45x

Subtracting 1.25x from both sides gives:

29.25 = 22.05 + 1.2x

Subtracting 22.05 from both sides gives:

7.2 = 1.2x

Dividing both sides by 1.2 we find that:

x = 6

The owner will need to use 6 kilograms of gumdrops to obtain the desired price for the candy medley. The correct answer is B) 6.0 kilograms