# 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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