Anature museum has 2008 specimens of early birds, some with 222 wings and some with 444 wings. the specimens have a total of 40384 wings. how many specimens are there with each number of wings?

Let's assume

number of birds with 2 wings is x

number of birds with 4 wings is y

A nature museum has 2008 specimens of early birds

so,

Total of wings of 2 wings bird =2x

Total of wings of 4 wings bird =4y

The specimens have a total of 4384 wings

so, we get

we can divide both sides by 2

so, we get system of equations as

we can solve for x and y

We can subtract both equations

so,

number of birds with 2 wings is 1824

number of birds with 4 wings is 184.............Answer

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

more detail

step-by-step explanation: