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Caroline and her children went into a restaurant and will buy drinks and tacos. Each drink costs 
$2.75 and each taco costs 
$3. Caroline has a total of 
$50 to spend on drinks and tacos. Write an inequality that would represent the possible values for the number of drinks purchased, 
d, and the number of tacos purchased, 
t.
Answer:

Caroline and her children went into a restaurant and will buy drinks and tacos. Each drink costs $2.75 \$ 2.75 and each taco costs $3 \$ 3 . Caroline has a total of $50 \$ 50 to spend on drinks and tacos. Write an inequality that would represent the possible values for the number of drinks purchased, d d , and the number of tacos purchased, t t .\newlineAnswer:

Full solution

Q. Caroline and her children went into a restaurant and will buy drinks and tacos. Each drink costs $2.75 \$ 2.75 and each taco costs $3 \$ 3 . Caroline has a total of $50 \$ 50 to spend on drinks and tacos. Write an inequality that would represent the possible values for the number of drinks purchased, d d , and the number of tacos purchased, t t .\newlineAnswer:
  1. Define Cost and Budget: Let's define the cost of one drink as \$\(2\).\(75\) and the cost of one taco as \$\(3\). Caroline has \$\(50\) to spend. We need to find an inequality that represents the possible values for the number of drinks \(d\) and the number of tacos \(t\) she can purchase.
  2. Calculate Total Costs: The total cost of \(d\) drinks at \(\$2.75\) each would be \(2.75d\). Similarly, the total cost of \(t\) tacos at \(\$3\) each would be \(3t\). The sum of these two costs cannot exceed the total amount Caroline has to spend, which is \(\$50\).
  3. Write Inequality: We can write the inequality that represents this situation as \(2.75d + 3t \leq 50\). This inequality shows that the combined cost of the drinks and tacos must be less than or equal to \(\$50\).

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