math

Aaron earns $1.50 for every video game he sells. When he sells one carton of 30 video games, he earns an additional $10. What is the minimum number of video games he has to sell in order to earn $450?

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  1. Assuming he earns an extra $10 for each carton of 30, we have

    1.50x + 10(⌊x/30⌋) >= 450
    x >= 246.7

    check:
    240 games is 8 carton, so he gets an extra $80

    80 + 1.5*246 = 449.00
    the 247th game earns him another $1.50, putting him at $450.50

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  2. x is greater than or equal to 246.70

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  3. Yes

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