Question
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17. The recipe makes 1 serving of punch. If Alex used 3 cups of pineapple juice to make her punch, how many servings did she make? Use the equation \( \frac{3}{4} s=3 \) to find the number of servings. She made \( \square \) servings. (Type a whole number.)

Ask by Medina Hammond. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

She made 4 servings.

Solution

To determine how many servings Alex made, let's solve the equation provided: \[ \frac{3}{4} s = 3 \] **Step 1:** Solve for \( s \). Multiply both sides of the equation by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \): \[ s = 3 \times \frac{4}{3} \] **Step 2:** Simplify the equation. \[ s = 4 \] **Conclusion:** She made **4** servings.

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Bonus Knowledge

To solve the equation \( \frac{3}{4} s = 3 \), you can start by multiplying both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \). This gives you \( s = 3 \cdot \frac{4}{3} \). Performing the multiplication results in \( s = 4 \). So, Alex made 4 servings of punch! Speaking of punch, did you know that punch has roots tracing back to the 17th century? It originated in India and was brought to England by sailors. The word "punch" is derived from the Hindi word "panch," which means five, referring to the five original ingredients: alcohol, sugar, lemon, water, and tea or spices! Punch isn’t just for parties—it's also a fantastic way to showcase seasonal fruits! You can create refreshing variations by adding things like berries, citrus slices, or even herbs like mint. When experimenting, remember to balance sweetness and acidity, as too much sugar can lead to an overly sweet concoction. Enjoy mixing flavors and get ready to impress your friends with your punch skills!

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