Bunuel wrote:
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?
A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches
The area of 16 inches pizza is \(\pi{R^2}=8^2\pi=64\pi\).
The
minimum area covered with toppings is \(\frac{3}{4}*64\pi=48\pi\) --> the radius of the toppings is \(\pi{r^2}=48\pi\) -->
\(r=4\sqrt{3}\approx\) 6,9The maximum width for the crust possible = R - r = 8 -
6.9 =
1.1 inches.
Answer:
B.\(r=4\sqrt{3}=6.9282....\).
The maximum width for the crust possible = R - r = 8 - 6.9282... = 1.0717.... inches. -----> 1,1 width would make the surface area covered with topping less than 75%
Answer: A
I know this might be picky, but shouldn't OA be A ?
Does GMAT give these possible answers where rounding errors become very important
Please fill me in case Im missing something (which I probably do)
_________________
Feel free to message if you have any questions :D