Devin is 1 1/4 younger than eli. April is 1/5 as old as devin. Jill is 5 years older than April. If Eli is E years old what is Jill's age in terms of E?

Respuesta :

Answer:

[tex]\frac{4E-5}{20}+5[/tex]    

Step-by-step explanation:  

We have been given that Eli is E years old.

Devin is 1 1/4 younger than Eli, therefore, Devin's age in terms of E will be:

[tex]\text{Devin's age in terms of E}=E-1\frac{1}{4}[/tex]

[tex]\text{Devin's age in terms of E}=E-\frac{5}{4}[/tex]

Further we are told that April is 1/5 as old as Devin. So April's age will be,

[tex]\text{April's age in terms of E}=\frac{E-\frac{5}{4}}{5}[/tex]

Upon simplifying our expression we will get,

[tex]\text{April's age in terms of E}=\frac{(\frac{4E-5}{4})}{5}[/tex]

[tex]\text{April's age in terms of E}=\frac{4E-5}{20}[/tex]

Now let us write Jill's age in terms of E.

We are told that Jill is 5 years older than April. So Jill's age will be,

[tex]\text{Jill's age in terms of E}=\frac{4E-5}{20}+5[/tex]

Therefore, Jill's age in terms of E will be [tex]\frac{4E-5}{20}+5[/tex].