A music website sold 68 single songs and 40 albums today. The number of single downloads has been increasing by 12 each day. The number of album downloads has been decreasing by 2 each day. If these trends continue, in how many days will the number of single downloads be 5 times the number of album downloads?

In 66 days will the number of single downloads be 5 times the number of album downloads

Step-by-step explanation:

For the music website, we know 68 single songs and 40 albums were sold today.

The number of single downloads increases by 12 each day. This means that in t days, there will be:

68 + 12t single downloads

The number of album downloads increases by 2 each day. In t days, there will be:

40 + 2t

We need to find when the following condition is met:

68 + 12t = 5(40 + 2t)

Operating:

68 + 12t = 200 + 10t

Rearranging:

12t - 10t = 200 - 68

2t = 132

Solving:

t=132 / 2

t = 66 days

In 66 days will the number of single downloads be 5 times the number of album downloads

they will manufacture 8496 cars