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

Answer 1

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

Explanation:

Let

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

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

we know that

`x=(2)/(3)y` ----> equation A

`x=28` ----> equation B

substitute equation B in equation A and solve for y

`28=(2)/(3)y`

Multiply by 3 both sides to remove the fraction

`28(3)=2y`

Divide by 2 both sides

`y=(28(3))/(2)=42\ in`

therefore

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