Logic Problem: Just Desserts
Rorey Padfoot (Hufflepuff)
Stickyfingers Sweet Shop supports the community by getting most of its desserts from local bakes. Each of yesterday’s five top-selling baked goods came from a different pastry chef, who was paid a wholesale price by Stickyfingers. Each dessert (each of which came in a different number of portions) completely sold out over the course of the day; earning Stickyfingers a nice profit.
From the information provided, determine the wholesale price and number of portions of each baker’s dessert. (Note: the profit for each item is calculated by multiplying the number of portions by the sale price per portion and then subtracting thw whole sale price.)
- There were exactly twice as many of Cassie’s cream tarts as slices of cheesecake. There were exactly twice as many slices of cheesecake as slices of blueberry pie.
- The shop made a profit of exactly $8.70 from Mark’s dessert. The shop made a profit of exactly $14.00 from the cheesecake. The shop paid exactly $5.00 wholesale for the blueberry pie.
- The sum of the wholesale price the shop paid to Rosa and the profit made from her dessert (for which the shop paid exactly $3.00 less than was paid for Mark’s item) is exactly $10.80.
- Alexia’s dessert was divided into exactly six portions; there were exactly 64 portions of the other four desserts combined.
- The carrot cake (which isn’t Rosa’s dessert) was divided into exactly ten slices, which was fewer than the number of slices of cheesecake.
- The profit from Tara’s dessert (which was sold for $2.00 per portion) is exactly $10.00 less than the amount the shop paid for the item that made a profit of exactly $18.00.
- The total profit is equal to the total amount paid to five bakers. Alexia received exactly 10% of the total wholesale prices paid to five bakers.
