Question

Two music companies provide online services. Company A charges $15 per month and $0.25 for each download. Company B charges $30 per month and $0.10 for each download. How many songs must be downloaded for the total cost to be the same for both companies

Answer 1

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:

⇒ $15+0.25(x)$   ...equation(i)

Charges of company B.

⇒ $30+0.10(x)$   ...equation(ii)

According to the question:

They must have same cost so value of 'x' are equal.

Equating both the equations.

⇒ $15+0.25(x)=30+0.10(x)$

⇒ $0.25(x)-0.10(x)=30-15$ ... the variables and constant on same side

⇒ $0.15(x)=15$

⇒ $x=\frac{15}{0.15}$                             ...dividing both sides with 15

⇒ $x=100$

So the number of songs to be downloaded for total cost to be same for both the companies is 'x' = 100