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Royals games cost $20 per ticket plus a one-time $12 fee. A season ticket costs $290. How many games would you have to attend so a season ticket is a better deal than buying individual tickets? what number is on the other side of the inequality?

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Final answer:

To determine how many games you would have to attend for a season ticket to be a better deal than buying individual tickets, compare the total cost of buying individual tickets for that number of games to the cost of a season ticket. The number of games you would have to attend is 14.

Step-by-step explanation:

To determine how many games you would have to attend for a season ticket to be a better deal than buying individual tickets, we need to compare the total cost of buying individual tickets for that number of games to the cost of a season ticket.

Let's assume the number of games you would have to attend is 'x'. The total cost of buying individual tickets for 'x' games would be:

Total cost = (cost per ticket * number of games) + one-time fee = (20 * x) + 12

The cost of a season ticket is given as $290. Now we need to find the value of 'x' at which the total cost of buying individual tickets is greater than the cost of a season ticket. In other words, we need to solve the inequality:

(20 * x) + 12 > 290

Simplifying the inequality, we get:

20x > 278

x > 13.9

Since the number of games cannot be a decimal or a fraction, we round up to the nearest whole number. Therefore, you would have to attend at least 14 games for a season ticket to be a better deal than buying individual tickets. The number on the other side of the inequality is 14.

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