What is the discount on the 14 pizza at my favorite pizza store?

  • Context: High School 
  • Thread starter Thread starter powergirl
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Discussion Overview

The discussion revolves around calculating the percentage discount on a 14" pizza priced at $11 compared to an 8" pizza priced at $3.99. Participants explore the implications of pricing based on the area of the pizzas and the perceived discount offered by the store.

Discussion Character

  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant states the 14" pizza is specially priced at $11 and questions the percentage discount.
  • Another participant claims a discount of 75% off, which is later challenged.
  • Some participants suggest a discount of approximately 9.98% off.
  • Others propose a discount of about 10%, indicating a rough estimate.
  • A detailed calculation is provided, showing that if the pizzas are priced according to their areas, the discount would be 10% based on the area ratio.

Areas of Agreement / Disagreement

There is no consensus on the exact percentage discount, with participants suggesting values ranging from 9.98% to 10% and one participant claiming 75% off. The discussion remains unresolved regarding the accuracy of these claims.

Contextual Notes

Participants' calculations depend on assumptions about pricing based on area, and there are unresolved discrepancies in the discount percentages suggested.

powergirl
The 8" pizza sells for $ 3.99 at my favorite pizza store. The store claims they have a great deal on the large 14" pizza, which is specially priced at $ 11. What is the per cent discount the store is offering?​
:bugeye:
 
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Edited:: 75% off.
 
Last edited:
edit: Blah
 
Last edited:
Well I guess she logged off, but that was interesting.
 
Not correct...
 
About 9.98% off.
 
10% off give or take
 
10%

Kurdt said:
10% off give or take

CORRECT!
Here goes the
Solution:

The small pizza has a diameter of 8" and therefore an area proportional to 82.

The large pizza has a diameter of 14" and therefore an area proportional to 142.

If the pizzas are priced in accordance with their areas, then

Price of large pizza / Price of small pizza = (14 / 8)2 = 3.06 or

Price of large pizza = 3.06 x 3.99 = 12.2.

Thus, Discount on large pizza = [1 - (11 / 12.2)] x 100 = 10 %.
 

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