Question

This is a 2-part problem and I solved the first part, but can't get the second.
Brad has a circular garden with a radius of 3 feet. There are 54 flowers in his garden. He wants to plant different flowers in a 1-foot border all around his garden. What is the area, in square feet, of the border for Brad's garden? Use 3.14 for pie. My answer is 50.24 square feet.

Here's the part I can't get -
Brad wants the ratio of the number of flowers in his border to the area of his border to be the same as the ratio of the number of flowers in his original garden to the area of his original garden. How many flowers does Brad need for his border?

Answer 1

area of garden = 9(3.14) = appr 28.26
area of garden + border = 16(3.14) = 50.25
area of border = 50.25-28.26 = 21.98 ft^2
so that disagrees with your answer

ration of flowers : border = ratio of flowers : original garden
x/21.98 = 54/28.26
x = 54(21.98)/28.26 = 42

Answer 2

Thank you! I actually just found my mistake and my answer matches yours :)