Learn how to solve equations using apples! Discover the concept of balancing equations through a simple example with apples. Find out how to solve for the unknown variable 'w' step by step in an easy and engaging way.
Alright, let's break it down step by step! Imagine you have 71 apples and someone gives you 13 more apples. That's a total of 84 apples in the end, right? Now, let's say you have another situation where you only have 13 apples, and you want to know how many more apples you need to make it equal to the first scenario with 84 apples. In this case, we need to solve for 'w', which is the number of apples we need to add to reach 84.
To find 'w', we can rearrange the equation: 71 + 13 = 13 + w. First, we add 71 and 13 together to get 84 on one side of the equation. So, 84 = 13 + w. Next, we want to isolate 'w' on one side of the equation. We can do this by subtracting 13 from both sides. This gives us: 84 - 13 = w, which simplifies to 71 = w.
Therefore, the answer to the equation '71 + 13 = 13 + w' is w = 71. In simpler terms, if you have 71 apples, and someone gives you 13 more apples, it will be the same as if you had 13 apples and added 71 more. Both scenarios will leave you with 84 apples in the end!
This concept of balancing equations by adding or subtracting the same value to both sides is a fundamental principle in mathematics. By following these steps and using real-life examples like apples, it becomes easier to understand how to solve for the unknown variable 'w' in such equations. Have fun practicing your math skills with more scenarios like these!