Final answer:
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