Answer:
205 litres
Step-by-step explanation:
Given:
Volume of water is given as:
[tex]V=100+20m[/tex] (in litres)
m is the time in minutes spent filling water in Eduardo's pool.
To find:
Volume of water in the pool after the water is filled for [tex]5\frac{1}{4}[/tex] minutes.
Solution:
Here, volume of water in the Pool (in litres) is given by the equation:
[tex]V=100+20m[/tex] ....... (1)
Where m is the time for which Eduardo fills the pool.
Here, we are also given that
m = [tex]5\frac{1}{4}[/tex] minutes = [tex]\frac{5\times4+1 }{4}=\frac{20+1}{4}=\frac{21}{4}[/tex] minutes
And we have to find the value of V after [tex]\frac{21}{4}[/tex] minutes.
Let us put the value of m as [tex]\frac{21}{4}[/tex] minutes in the equation (1) to find the value of V.
[tex]V=100+20m\\\Rightarrow V = 100 + 20 \times \frac{21}{4}\\\Rightarrow V = 100+105\\\Rightarrow \bold{V = 205\ litres}[/tex]
So, the volume of water in the pool after [tex]\frac{21}{4}[/tex] minutes is 205 litres.
