Answer: The correct answer is 18.478
Step-by-step explanation: In order to solve the problem of 4.25 is 23 percent of what number you need to divide 4.25 by .23.
It is solved using this equation:
4.25/.23 = 18.478
You can then double check your work by multiplying 18.478 x .23.
18.478 x .23 = 4.25
The number for which [tex]23\%[/tex] of the number is equals to [tex]4.25[/tex] is [tex]\fbox{\begin\\\ 18.48\\\end{minispace}}[/tex].
Further explanation:
The objective is to obtain the number for which the [tex]23\%[/tex] of the number is [tex]4.25[/tex].
The term percent means [tex]1[/tex] out of [tex]100[/tex]. Similarly, [tex]2[/tex] percent means [tex]2[/tex] out of [tex]100[/tex].
The percentage is a number which represents the number of parts out of [tex]100[/tex] parts or it represents the ratio expressed as a fraction of [tex]100[/tex].
For example: Consider a number as [tex]50[/tex] and divide [tex]50[/tex] into [tex]10[/tex] equal parts. Each divided part is of value [tex]5[/tex] this means that each part is [tex]10\%[/tex] of the original number because the original number is divided into [tex]10[/tex] equal parts.
Consider the number required as [tex]x[/tex].
It is given that [tex]23\%[/tex] of the number [tex]x[/tex] is equals to [tex]4.25[/tex].
As per the above statement the equation formed is as follows:
[tex]\fbox{\begin\\\ \dfrac{23}{100}\times x=4.25\\\end{minispace}}[/tex]
Solve the above equation as follows:
[tex]\begin{aligned}\dfrac{23}{100}\times x&=4.25\\x&=\dfrac{4.25\times 100}{23}\\ x&=18.47826\end{aligned}[/tex]
Therefore, the value of [tex]x[/tex] is [tex]18.4786[/tex].
The approximated value of [tex]x[/tex] up to [tex]2[/tex] decimal places is [tex]18.48[/tex].
Therefore, the value of the required number is [tex]\fbox{\begin\\\ 18.48\\\end{minispace}}[/tex].
Verification:
To verify the answer calculate the [tex]23\%[/tex] of the number [tex]18.48[/tex].
[tex]\fbox{\begin\\\ 23\% \text{of} 18.48\\\end{minispace}}[/tex]
Solve the above expression as follows:
[tex]\begin{aligned}\dfrac{23\times 18.48}{100}&=\dfrac{4.2504}{100}\\&=4.2504\\&=4.25\end{aligned}[/tex]
Therefore, the [tex]23\%[/tex] of the number [tex]18.48[/tex] is [tex]4.25[/tex].
Thus, the number for which [tex]23\%[/tex] of the number is equals to [tex]4.25[/tex] is [tex]18.48[/tex].
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Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Percentages
Keywords: Percentages, fraction, simplification, evaluate, 23 percent, 4.25, 18.48, ratio, proportion, approximate, per cent, number, 100 parts, 23%.
