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SOFTWARE A software company releases two products: a home version of their photo editor, which costs $20, and a professional version, which costs $45. The company sells 1000 copies of the photo editing software, earning total revenue of $38,075. Write and solve a system of equations to determine how many home versions and professional versions of the software the company sold. Let h = the number of home versions sold and p= the number of professional versions sold.

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raphealnwobi

The software company released 227 home versions and 723 professional versions.

Equation

Let  h represent the number of home versions sold and p represent the number of professional versions sold.

Since 1000 copies where sold, hence:

  • x + y = 1000    (1)

Also the revenue was $38075, hence:

  • 20h + 45p = 38075     (2)

Solving equations 1 and 2 simultaneously gives:

h = 227, p = 723

The software company released 227 home versions and 723 professional versions.

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