Question

Hard candies are made in large batches and then cut into smaller bite size pieces. If Buckeye Candy Confections wants to make their lemon flavored candy in a 500 lb batch, how much lemon flavoring (in g) will be needed? Assume one lemon candy contains 1.39 × 10⁻³ g of lemon flavoring and each candy has a mass of 40.411 g.

Answer 1

To determine how much lemon flavoring is needed for a 500 lb batch of lemon candies, divide the total mass of the batch by the mass of each candy to find the number of candies. Multiply the number of candies by the amount of lemon flavoring per candy to find the total lemon flavoring needed. Buckeye Candy Confections will need 7.77 g of lemon flavoring for the batch.

Step-by-step explanation:

To determine how much lemon flavoring will be needed for a 500 lb batch of lemon flavored candies, we first need to calculate the number of candies that can be made from the batch. Each candy has a mass of 40.411 g, so we divide the total mass of the batch by the mass of each candy:

Number of candies = mass of batch / mass of each candy = 500 lb * (453.59 g/lb) / 40.411 g = 5594.97 candies

Next, we calculate the total amount of lemon flavoring needed:

Total lemon flavoring = number of candies * lemon flavoring per candy = 5594.97 candies * 1.39 × 10⁻³ g/candy = 7.77 g

Therefore, Buckeye Candy Confections will need 7.77 g of lemon flavoring for a 500 lb batch of lemon flavored candies.

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