Question

A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.5 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2938 MB. How many downloads of the standard version were there?

Answer 1

260

Explanation:

The relationship between the number of standard versions and the total download can be written as ...

2.3n +4.5(2n) = 2938 . . . . . twice as many high-quality songs (2n)

11.3n = 2938 . . . . . . . . . simplify

n = 2938/11.3 = 260 . . . divide by the coefficient of n

There were 260 downloads of the standard version.