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21 October, 00:40

Samuel wants to buy at least twice as many DVDs as CDs. CDs sell for $7 each, and DVDs sell for $12 each. Samuel can spend a maximum of $50. Let c represent the number of CDs, and let d represent the number of DVDs. Which system of inequalities can be used to find the number of CDs and DVDs Samuel can buy?

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  1. 21 October, 00:42
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    C = number of CDs purchased

    d = number of DVDs purchased.

    Sam wants to buy at least twice as many DVDs as CDs, therefore

    d > = 2c (1)

    Sam can spend up to $50. Each CD costs $7 and each DVD costs $12. Therefore

    7c + 12d < = 50 (2)

    Equations (1) and (2) represent the system of inequalities for the problem.
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