MHB Word Problem: Songs Downloaded

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To solve the problem of determining how many high-quality songs were downloaded, a system of equations is suggested. The first equation is based on the total size of the downloads: 2.3S + 4.2H = 4077, where S represents standard versions and H represents high-quality versions. A second equation is needed, which can be derived from the total number of downloads: S + H = 1120. By solving these two equations simultaneously, the number of high-quality songs downloaded can be calculated. This approach provides a structured method to tackle the word problem effectively.
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My homework question is "the standard version of a song is 2.3mb and high quality is 4.2mb. There was 1120 downloads for a total of 4077mb. How many high quality songs were downloaded?" I'm having an issue creating the formula needed to solve this word problem!
 
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reader1018 said:
My homework question is "the standard version of a song is 2.3mb and high quality is 4.2mb. There was 1120 downloads for a total of 4077mb. How many high quality songs were downloaded?" I'm having an issue creating the formula needed to solve this word problem!

Hi reader1018,

I think we can set up a system of equations to solve this. Let's call $S$ the number of standard versions downloaded and $H$ the number of high quality versions downloaded. We are told that $2.3S+4.2H=4077$. We need a second equation though to solve for both variables. What else do we know?
 

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