Friday, February 24, 2012

If a 10-inch pizza costs $3 and a 12-inch pizza costs $5, which is a better deal?

and why?If a 10-inch pizza costs $3 and a 12-inch pizza costs $5, which is a better deal?
everyone says the 10", and that's the simple solution.

but consider how many people don't eat the crust.

if we take a 1" ring off both, then which is best?



4^2*pi/3=16.75 sq in / $ %26lt;== 10" still best, again, not by much.

5^2*pi/5=15.7 sq in /$
I'm assuming the measurements given are for the diameter and that these are circular pizzas.



The formula for area of a circle is

radius^2 * pi



radius = diameter/2



So the formula to find the price per square inch is

(radius^2 * pi ) / price



pi = approx 3.1415



(25 * 3.1415)/3 = 26.2 sq inches per dollar



(36 * 3.1415)/5 = 22.6 sq inches per dollar



the smaller pizza is a better deal, more pizza per dollarIf a 10-inch pizza costs $3 and a 12-inch pizza costs $5, which is a better deal?
MJ's answer is correct to the 1/10th if you go to the 1/100 it is the smaller pizza is 26.18 sq in per $1 where the larger pizza is 22.61 sq in per $1


$15 is common denominator (like in fractions). 5 $3 pizzas would net you 50 inches of pizza, and 3 $5 pizzas would net you 36 inches of pizza
$3 / 10 inches = $0.30 / inch

$5 / 12 inches = $0.41666... / inch



Since $0.30 %26lt; $0.41666, the 10-inch pizza is a better deal.
10 inch!!! Because... 12-10=2

2 inches is worth $2? Not worth it!
same? Only two more dollars and you get two more inches...i don't know. Lol i thought i did but then I got confused...

I think they're the same...
The 10 inch for $3 is a better deal, but only a little.
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