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 28 in long. What is the length of the​ blue-and-yellow macaw?

Answer:The length of the​ blue-and-yellow macaw is 42 inStep-by-step explanation:Letx ----> the length of the toucan in inchesy ----> the length of the​ blue-and-yellow macaw in incheswe know that[tex]x=\frac{2}{3}y[/tex] ----> equation A[tex]x=28[/tex] ----> equation Bsubstitute equation B in equation A and solve for y[tex]28=\frac{2}{3}y[/tex]Multiply by 3 both sides to remove the fraction[tex]28(3)=2y[/tex]Divide by 2 both sides[tex]y=\frac{28(3)}{2}=42\ in[/tex]thereforeThe length of the​ blue-and-yellow macaw is 42 in