Final answer:
The length of the stick is 3 meters, and the string is four times longer than the stick, so the string is 12 meters long.
Step-by-step explanation:
You are looking to find the length of a string that is four times as long as a stick. Together, the string and the stick have a total length of 15 meters. Let's denote the length of the stick as x meters. Since the string is four times as long as the stick, the string's length can be expressed as 4x meters.
To find the total length, you would combine the length of the stick and the string, which gives us an equation: x + 4x = 15. Solving for x, you would combine like terms: 5x = 15. Now we can solve for x by dividing both sides of the equation by 5, resulting in x = 3. This tells us that the stick is 3 meters long.
Now, because the string is four times longer than the stick, you would multiply the length of the stick by 4 to find the length of the string: 4 × 3 = 12 meters. So, the string is 12 meters long.