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Write the equation that matches the relationship in the sentence below.

The sum of 101, 102, and 103 equals half the difference of an unknown number and 50.

Sagot :

GinnyAnswer
Sure! Let's break down the problem step by step to form the equation.

1. Find the sum of 101, 102, and 103:
- [tex]\(101 + 102 + 103\)[/tex]

2. Add these numbers together:
- The sum is 306.

3. Represent the unknown number as a variable:
- Let's call the unknown number [tex]\( x \)[/tex].

4. Describe the relationship in the sentence:
- The sum (which we've found to be 306) equals half the difference of the unknown number and 50.

5. Form the equation:
- [tex]\(\text{sum} = \frac{\text{unknown number} - 50}{2}\)[/tex]
- Substitute the known sum into this equation: [tex]\(306 = \frac{x - 50}{2}\)[/tex]

So, the equation that matches the given relationship is:
[tex]\[ 306 = \frac{x - 50}{2} \][/tex]
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