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Your class has decided to have a cake for its New Year Party. You are trying to decide which cake store has the cheapest price. The local cake shops and their prices are listed below. Cake Prices Tous les Jours $8.50, 8 slices per cake ABC Bakery $10.25, 10 slices per cake Bread Talk $6.25, 6 slices per cake Assume that there are 24 students in your class and that each person (including your teacher and co-teacher) will eat one slice. Also, assume that the slices of cakes from the different stores contain the same amount of cake. Where should you buy the cake? Show your work and write a brief description of how you decided on your answer. ANSWER:

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Final answer:

ABC Bakery offers the cheapest price per slice at $1.025 for a New Year Party with 24 attendees. Purchasing three cakes from ABC Bakery would total $24.60, making it the most cost-effective choice.

Step-by-step explanation:

To determine which cake store has the cheapest price per slice for a New Year Party with 24 attendees, we need to calculate the price per slice for each store and then compare the results.

Tous les Jours: The cake costs $8.50 and yields 8 slices, so the price per slice is $8.50 ÷ 8 = $1.0625.

ABC Bakery: The cake costs $10.25 and yields 10 slices, so the price per slice is $10.25 ÷ 10 = $1.025.

Bread Talk: The cake costs $6.25 and yields 6 slices, so the price per slice is $6.25 ÷ 6 = $1.0417.

ABC Bakery offers the lowest cost per slice at $1.025. To serve 24 slices, we need to purchase three cakes from any of the stores. Multiplying the price per slice by 24 gives us $24.60 at Tous les Jours, $24.60 at Bread Talk, and only $24.60 at ABC Bakery, confirming ABC Bakery as the best option.

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