Question

A Web music store offers two versions of a popular song. The size of the standard Version is 2.1 megabytes (MB). The size of the high-quality version is 4.4 MB.Yesterday, there were 1480 downloads of the song, for a total download size of 4534 MB. How many downloads of the standard version were there?Number of standard version downloads:

Answer 1

Given:

Let S and H denotes the no of downloads in standard version and High-quality version.

$S+H=1480\ldots.(1)$$2.1S+4.4H=4534\ldots.\text{ (2)}$

Multiply equation(1) by 2.1 and subtract from equation (2)

$2.1S+4.4H-2.1S-2.1H=4531-3108$$2.3H=1423$$H=618.70$

Substitute H=618.70 in (1)

$S+618.70=1480$$S=861.30$

Number of downloads is 861.