Question
Chase and his children went into a restaurant where they sell drinks for $2 each and tacos for $3.50 each. Chase has $50 to spend and must buy at least 16 drinks and tacos altogether. If Chase decided to buy 6 tacos, determine all possible values for the number of drinks that he could buy.
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GPT 3.5
Let's denote the number of drinks Chase buys as x.
The total cost of 6 tacos is $3.50 * 6 = $21.
Chase has $50 to spend, so he has $50 - $21 = $29 remaining to spend on drinks.
Since Chase must buy at least 16 drinks and tacos altogether, we have the inequality: x + 6 >= 16.
This simplifies to x >= 10.
To find possible values of x, we first need to find the maximum number of drinks he could buy with $29.
Each drink costs $2, so the maximum number of drinks he can buy is $29 / $2 = 14.5.
But since the number of drinks must be an integer, he can buy a maximum of 14 drinks.
Therefore, the possible values for x are: 10, 11, 12, 13, or 14.
So, Chase can buy 10, 11, 12, 13, or 14 drinks if he decides to buy 6 tacos.
The total cost of 6 tacos is $3.50 * 6 = $21.
Chase has $50 to spend, so he has $50 - $21 = $29 remaining to spend on drinks.
Since Chase must buy at least 16 drinks and tacos altogether, we have the inequality: x + 6 >= 16.
This simplifies to x >= 10.
To find possible values of x, we first need to find the maximum number of drinks he could buy with $29.
Each drink costs $2, so the maximum number of drinks he can buy is $29 / $2 = 14.5.
But since the number of drinks must be an integer, he can buy a maximum of 14 drinks.
Therefore, the possible values for x are: 10, 11, 12, 13, or 14.
So, Chase can buy 10, 11, 12, 13, or 14 drinks if he decides to buy 6 tacos.
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