College

Write an equation and solve. Round to the nearest hundredth where necessary.

58 is [tex]$100\%$[/tex] of what number?

A. [tex]x = 58 \cdot 1; \, 58[/tex]
B. [tex]58 = 1 \cdot x; \, 60.3[/tex]
C. [tex]58 = 1 \cdot x; \, 58[/tex]
D. [tex]1 = 58 \cdot x; \, 39.4[/tex]

Answer :

We are given the statement:

[tex]$$58 \text{ is } 100\% \text{ of what number?}$$[/tex]

Step 1. Express the problem as an equation. Since [tex]$100\%$[/tex] expressed as a decimal is [tex]$1$[/tex], the statement becomes:

[tex]$$58 = 1 \times x$$[/tex]

Step 2. Solve the equation for [tex]$x$[/tex]. Dividing both sides of the equation by [tex]$1$[/tex] gives:

[tex]$$x = \frac{58}{1} = 58$$[/tex]

Step 3. Round the answer to the nearest hundredth. Although rounding is not necessary in this case, when expressed to two decimal places the answer is:

[tex]$$x = 58.00$$[/tex]

Thus, the number for which [tex]$58$[/tex] is [tex]$100\%$[/tex] is [tex]$\boxed{58}$[/tex] (or [tex]$58.00$[/tex] when rounded appropriately).

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