Word problem need help

Question

a web music store offers two versions of a popular song. The size of the standard version is 2.6 megabytes (MB). The size of the high-quality version is 4.7 MB yesterday, there were 1110 downloads of the song for a total download size of 3894 MB. How many downloads of the high-quality version were there

Answer 1

Let s = the number of standard downloads.

Let h = the number of high-quality downloads.

The total number of downloads is 1110, therefore

s + h = 1110

That is,

s = 1110 - h (1)

The total megabytes downloaded is 3894. Therefore

2.6s + 4.7h = 3894 (2)

Substitute (1) into (2).

2.6(1110 - h) + 4.7h = 3894

2886 - 2.6h + 4.7h = 3894

2.1h = 3894 - 2886 = 1008

h = 1008/2.1 = 480

From (1), obtain

s = 1110 - 480 = 630

Answer:

480 high-quality downloads.