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------------------------------------------------ Choose the mathematical sentence that most accurately expresses the information in the problem, and would be most helpful in solving it.

In a certain herd of 24 elephants, there are 13 males. How many females are there?

A. [tex]f + 24 = 13[/tex]

B. [tex]f = 24 + 13[/tex]

C. [tex]f - 24 = 13[/tex]

D. [tex]f - 13 = 24[/tex]

E. [tex]f + 13 + 24[/tex]

F. [tex]f + 13 = 24[/tex]

To solve the problem of determining how many female elephants are in the herd, we can follow these steps:

1. Understand the Total: We know that the total number of elephants in the herd is 24.

2. Understand the Composition: Out of these 24 elephants, 13 are males.

3. Set Up the Equation: We are asked to find the number of female elephants, represented by [tex]$ f $[/tex]. We can express the relationship between the total number of elephants, the number of male elephants, and the number of female elephants with this equation:
[tex]\[
f + 13 = 24
\][/tex]
This equation expresses that the number of females ([tex]$ f $[/tex]) plus the number of males equals the total number of elephants.

4. Solve the Equation: To find [tex]$ f $[/tex], we subtract the number of males from the total number of elephants:
[tex]\[
f = 24 - 13
\][/tex]
[tex]\[
f = 11
\][/tex]

So, there are 11 female elephants in the herd. The equation [tex]$ f + 13 = 24 $[/tex], which is Option F, accurately represents the relationship needed to find the number of female elephants.