Fraction Problem: Calculate Total Storks When 2/3 Have Black Spots

Question

An bird watcher observes some wild storks.

He notes that 23 \frac{2}{3} of them have a black spot on their wings, while 130 of them do not.

How many storks does the bird watcher observe?

Step-by-Step Solution

To solve this problem, we'll execute the following steps:

  • Step 1: Define the variable for total stork count
  • Step 2: Express the condition using equations
  • Step 3: Solve the equation for the variable

Now, let's work through each step:

Step 1: Define x x as the total number of storks observed.

Step 2: According to the problem, 23x \frac{2}{3}x have a black spot, meaning 13x \frac{1}{3}x do not have a black spot. We know 13x=130 \frac{1}{3}x = 130 .

Step 3: Solve the equation for x x :
Dividing both sides by 13 \frac{1}{3} gives: 13x=130\frac{1}{3}x = 130
x=130×3x = 130 \times 3
x=390x = 390.

Therefore, the total number of storks observed is 390 390 .

Answer

390