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 versions is 4.4 (MB). Yesterday, the high quality version was downloaded twice as often as tge standard version. The total size downloaded for the two versions was 2664 MB. How many downloads of the standard versions were there?

Question

Aubrey Hubbard

Mathematics

6 April, 05:41

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 versions is 4.4 (MB). Yesterday, the high quality version was downloaded twice as often as tge standard version. The total size downloaded for the two versions was 2664 MB. How many downloads of the standard versions were there?

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Pecan · Answer 1

answer

240 standard versions

set up equations

s = number of standard versions

h = number of high quality versions

the total size of all standard versions would be 2.3s since each standard version is 2.3 MB

the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB

add them together to get the total size (2664 MB) of all versions

2664 = 2.3s + 4.4h

since the high quality version was downloaded twice as often as the standard, we can say that

h = 2s

substitute h into equation and solve

2664 = 2.3s + 4.4h

h = 2s

2664 = 2.3s + 4.4 (2s)

2664 = 2.3s + 8.8s

2664 = 11.1s

s = 2664/11.1

s = 240