Now, multiply the amount of sodium in 1 cracker by 30. Multiplying 30 by (25)/(4) gives (750)/(4), which equals 187.5 mg.

A nutrition label shows that there are 75 milligrams of sodium in every 12 crackers. You eat 30 crackers. How much sodium do you consume? $\begin{array}{|c|c|c|c|} \hline \text{Sodium} & 75 & ? & ? \\ \hline \text{Crackers} & 12 & ? & 30 \\ \hline \end{array}$

Answer: $187.5\text{ mg}$

Step-by-step solution

Step 1: Find sodium content per cracker

We are given that $12$ crackers contain $75\text{ mg}$ of sodium. Using the unitary method, we divide $75$ by $12$ to find the amount of sodium in $1$ cracker, which simplifies to $\frac{25}{4}\text{ mg}$ or $6.25\text{ mg}$ .

Step 2: Calculate sodium in 30 crackers

Now, multiply the amount of sodium in $1$ cracker by $30$ . Multiplying $30$ by $\frac{25}{4}$ gives $\frac{750}{4}$ , which equals $187.5\text{ mg}$ .

Step 3: Fill the ratio table

Notice that the ratio of sodium to crackers is $\frac{75}{12} = \frac{25}{4}$ . Simplifying by dividing both terms by $3$ gives the intermediate ratio of $25\text{ mg}$ for $4$ crackers, leading directly to $187.5\text{ mg}$ for $30$ crackers.

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