Table of Contents
- Forming Equations – Find the Parts
– Example 1
- Summary
- What’s Next?
In the previous segment of the chapter ‘Simple Equations,’ we looked at How to find numbers.
In this segment, we will learn how to find parts.
How to form equations to find the parts?
Let us understand how to form equations to find the parts with the help of the following example:
Example
12 is divided into two parts. One of the parts is twice that of the other. Find the parts.
Step 1: Break the word problem into parts to form the equation.
- 12 is – ‘Is’ always means ‘equal to’. So we write ‘12 =’.
- Divided into two parts – ‘Divided into two parts’ means it is written as a sum of two numbers. Some number plus some number. 12 is something plus something.
- One of the parts is twice that of the other – This means that 12 is divided into two parts of which one of the parts is twice that of the other.
- Assign the variable – Here we shall consider the one part to be x. So if one part is ?, the other part will be 2 multiplied by ? , ?ℎ??ℎ ?? 2?
- Form the equation
From the above deductions, we can arrive at the equation. That is,
?? = ? + 2?
Step 2: Solve the equation
∴ 12 = ? + 2?
∴ 12 = 3?
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