Sure, let's create a real-world problem that can be represented by the equation [tex]\(3 + x = 10\)[/tex]:
Problem:
John is baking an apple pie that requires a total of 10 apples. Currently, he has only 3 apples at home. How many more apples does John need to buy in order to have enough apples for the pie?
Solution:
To determine how many more apples John needs to buy, we start with the given information:
- John already has 3 apples.
- He needs a total of 10 apples for the pie.
We can set up the equation to represent this scenario:
[tex]\[ 3 + x = 10 \][/tex]
Here, [tex]\( x \)[/tex] represents the number of additional apples John needs to buy.
To solve for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. We do this by subtracting 3 from both sides of the equation:
[tex]\[ 3 + x - 3 = 10 - 3 \][/tex]
This simplifies to:
[tex]\[ x = 7 \][/tex]
Therefore, John needs to buy 7 more apples to have a total of 10 apples for his pie.
