Final answer:
To find the length of the blue-and-yellow macaw, multiply the toucan's length of 28 inches by the reciprocal of 2/3, which gives us 42 inches.
Step-by-step explanation:
The length of the blue-and-yellow macaw can be determined by using the information that the toucan, which is 28 inches long, is about two thirds the length of the macaw. Since two thirds of the macaw's length is 28 inches, we can set up a proportion to find the full length of the macaw:
Two thirds of macaw's length = 28 inches
To find the full length, we divide 28 inches by 2/3:
Multiply 28 inches by the reciprocal (3/2) to find the macaw's length.
28 inches * (3/2) = 42 inches
Therefore, the length of the blue-and-yellow macaw is 42 inches.