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Selling frozen yogurt at the fair last summer, you make $565 and use 250 cones. The plain vanilla cones cost $2 and a super cone cost $3.50. A Super Cone has two scoops of frozen yogurt plus sprinkles. What was the profit made from selling frozen yogurt considering both plain vanilla cones and Super Cones?

a) $30
b) $45
c) $55
d) $70

1 Answer

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Final answer:

The question contains inconsistencies making it impossible to calculate the exact profit from selling frozen yogurt based on the numbers provided. We would need correct total revenue and number of cones sold to find a precise answer.

Step-by-step explanation:

To calculate the profit made from selling frozen yogurt, we need to determine the number of plain vanilla cones and Super Cones sold, as well as the total revenue and the cost of goods sold (COGS). Let's call the number of plain vanilla cones v and Super Cones s. We have two equations:

  • v + s = 250 (total cones)
  • 2v + 3.5s = 565 (total revenue in dollars)

We can solve these equations using substitution or elimination. If we multiply the first equation by 2, we get: 2v + 2s = 500. Now, if we subtract this new equation from the second equation, we eliminate v and get 1.5s = 65, or s = 65 / 1.5 = 43.33, which is not possible since we cannot sell a fraction of a cone. This means there's an issue with the information provided. However, if we proceed and find v using v = 250 - s, we would find that v is not a whole number either, indicating that the numbers provided in the question are not consistent with the cost and price values given, or that there is a typo or miscalculation. Therefore, we cannot accurately determine the profit without the correct information.

User Daniel Rhoden
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