While shopping, Edna noticed that three different pancake mixes indicated that they were the best value for the price. She also noticed that all three packages cost the same amount. She wanted to know how they could all be the best value if they all cost the same. So, she decided to do a comparison of the mixes.
Package A claims it makes 10 pancakes with a diameter of 6 inches.
Package B claims it makes 25 pancakes with a radius of 2 inches.
Package C claims it makes 50 pancakes with a circumference of 6.28 inches.
Based on the total pancake area, order the packages from most valuable to least valuable. Assume all three types of pancakes have the same thickness. Use 3.14 for pi .
what is the numbers to the answer
We need the formula for the area of a circle....it is 3.14 * radius^2
A - The diameter is 6in....so...the radius is 3in
Total area for 10 pancakes = 10 * 3.14 * 3^2 = 282.6 in ^2
B - 25 * 3.14 * 2^2 = 314 in ^2
C = circumference of a circle = 2 (3.14) * radius
So
6.28 = 2 (3.14) ( radius)
6.28 = 6.28 ( radius) divide both sides by 6.28
1 = radius
So....total area = 50 * 3.14 * 1^2 = 157 in ^2
So...the rankings from best to worst based on the area = B A C