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Question 11 (2.5 points)

260 is [tex]$26 \%$[/tex] of what number?


Sagot :

To determine what number 260 represents 26% of, follow these steps:

1. Understand the relationship: We know that 260 is 26% of some unknown number. Mathematically, this relationship can be expressed as:
[tex]\[ 260 = 0.26 \times \text{unknown number} \][/tex]

2. Set up the equation: Let [tex]\( x \)[/tex] represent the unknown number. The equation based on the relationship will be:
[tex]\[ 260 = 0.26 \times x \][/tex]

3. Isolate the unknown number ( [tex]\( x \)[/tex] ): To find [tex]\( x \)[/tex], divide both sides of the equation by 0.26:
[tex]\[ x = \frac{260}{0.26} \][/tex]

4. Perform the division:
[tex]\[ x = 1000 \][/tex]

Therefore, 260 is 26% of 1000.