SOLUTION: Hello, Please help I am getting numbers that are very close if I round up to the nearest cent like my homework states. Which pizza is the better buy? Small: 10 inches, $8.49 L

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Hello, Please help I am getting numbers that are very close if I round up to the nearest cent like my homework states. Which pizza is the better buy? Small: 10 inches, $8.49 L      Log On

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Question 907822: Hello, Please help I am getting numbers that are very close if I round up to the nearest cent like my homework states.
Which pizza is the better buy?
Small: 10 inches, $8.49 Large: 15 inches, $19.99

Found 2 solutions by richwmiller, ewatrrr:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
I didn't' find the price per square inch.
I found the ratio of one pizza to the other in size and in price.

a=pi*r^2
a=pi*5^2=25*pi
The area of the smaller pizza is 25*pi
a=pi*7.5^2=56*pi
The area of the larger pizza is 56*pi
We don't need to work out the exact size because pi will cancel out pi
(56pi) /(25 pi)= 56 to 25
56/25=2.24
The larger pizza is 2.24 times the size of the smaller
The ratio of the prices is almost 2 to 1
19.99/10=1.999
You are paying less than 2 to 1 but getting 2.24 to 1.
You get more pizza for your dollar if you buy the large.
The other tutor tried to give you the cost per square inch but put the same price for both

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Am assuming the 10" and 15" are diameters
8.49%2F%28pi%285%29%5E2%29 = $0.11/in^2 vs 19.99%2F%28pi%287.5%29%5E2%29 = $0.11/in^2