# Pizza deal

1. Jan 10, 2007

### 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?​

2. Jan 10, 2007

### dontdisturbmycircles

Edited:: 75% off.

Last edited: Jan 10, 2007
3. Jan 10, 2007

### dontdisturbmycircles

edit: Blah

Last edited: Jan 10, 2007
4. Jan 10, 2007

### dontdisturbmycircles

Well I guess she logged off, but that was interesting.

5. Jan 10, 2007

### powergirl

Not correct.........

6. Jan 10, 2007

### LeonhardEuler

7. Jan 10, 2007

### Kurdt

Staff Emeritus
10% off give or take

8. Jan 11, 2007

### powergirl

10%

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 %.