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24 March, 11:30

1. J. Cole is a successful Hip-Hop recording artist. He has a record contract that pays him $20,000 a month plus an additional $12 for each album that he sells. Last month he earned $24,800. Write an equation to express the money J. Cole earned last month. Let "x" represent the number of albums.

2. How many albums did J. Cole sell last month?

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  1. 24 March, 14:55
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    Monthly payment = $20,000

    Payment per album = $12

    Total earned last month = $24,800

    Part (a) : Expression for money earned last month

    Let x be number of albums last month. Then,

    Total earning = Fixed payment + Variable payment

    That is,

    24,800 = 20,000 + 12*x

    24,800 = 20,000 + 12x

    Part (b) : Number of albums last month

    This involves solving for x in the expression derived in part (a) above.

    24,800 = 20,000 + 12x

    24,800 - 20,000 = 12

    12x = 4,800

    x = 4,800/12 = 400 albums
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