Answer:
Number that is to be downloaded for same cost = 100
Step-by-step explanation:
Given:
Two music companies and their charges of downloading along with a fixed charge.
Let the number of songs downloaded be 'x'
Charges of company A:
⇒ [tex]15+0.25(x)[/tex] ...equation(i)
Charges of company B.
⇒ [tex]30+0.10(x)[/tex] ...equation(ii)
According to the question:
They must have same cost so value of 'x' are equal.
Equating both the equations.
⇒ [tex]15+0.25(x)=30+0.10(x)[/tex]
⇒ [tex]0.25(x)-0.10(x)=30-15[/tex] ... the variables and constant on same side
⇒ [tex]0.15(x)=15[/tex]
⇒ [tex]x=\frac{15}{0.15}[/tex] ...dividing both sides with 15
⇒ [tex]x=100[/tex]
So the number of songs to be downloaded for total cost to be same for both the companies is 'x' = 100
