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?

Respuesta :

Answer:

The length of the​ blue-and-yellow macaw is 42 in

Step-by-step explanation:

Let

x ----> the length of the toucan in inches

y ----> the length of the​ blue-and-yellow macaw in inches

we know that

[tex]x=\frac{2}{3}y[/tex] ----> equation A

[tex]x=28[/tex] ----> equation B

substitute 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]

therefore

The length of the​ blue-and-yellow macaw is 42 in

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