Question
Toucans and blue-and-yellow macaws are both tropical birds. The length of the toucan in the picture to the right is about two thirds of the length of the blue-and-yellow macaw. The toucan is about 32 in long. What is the length of the blue-and-yellow macaw?
32
in
Question content area bottom
Part 1
The length of the blue-and-yellow macaw is about
enter your response here in. (Simplify your answer.)
32
in
Question content area bottom
Part 1
The length of the blue-and-yellow macaw is about
enter your response here in. (Simplify your answer.)
Answers
GPT-4o mini
To find the length of the blue-and-yellow macaw, we know that the toucan's length is about two thirds of the length of the macaw.
Let \( L_m \) be the length of the blue-and-yellow macaw. According to the problem:
\[
\text{Length of toucan} = \frac{2}{3} \times L_m
\]
Given that the length of the toucan is 32 inches, we can set up the equation:
\[
32 = \frac{2}{3} \times L_m
\]
To solve for \( L_m \), we first multiply both sides of the equation by \( \frac{3}{2} \):
\[
L_m = 32 \times \frac{3}{2}
\]
Calculating that gives:
\[
L_m = 32 \times 1.5 = 48
\]
Thus, the length of the blue-and-yellow macaw is about **48 inches**.
Let \( L_m \) be the length of the blue-and-yellow macaw. According to the problem:
\[
\text{Length of toucan} = \frac{2}{3} \times L_m
\]
Given that the length of the toucan is 32 inches, we can set up the equation:
\[
32 = \frac{2}{3} \times L_m
\]
To solve for \( L_m \), we first multiply both sides of the equation by \( \frac{3}{2} \):
\[
L_m = 32 \times \frac{3}{2}
\]
Calculating that gives:
\[
L_m = 32 \times 1.5 = 48
\]
Thus, the length of the blue-and-yellow macaw is about **48 inches**.