Question

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 Wood Carter. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

She made 4 servings.

Solution

To find the number of servings Alex made, let's solve the equation: \[ \frac{3}{4} s = 3 \] **Step 1:** Multiply both sides of the equation by \( \frac{4}{3} \) to isolate \( s \): \[ s = 3 \times \frac{4}{3} \] **Step 2:** Simplify the multiplication: \[ s = 4 \] **Answer:** She made **4** servings.

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The Deep Dive

To solve the equation \( \frac{3}{4} s = 3 \), you'll want to isolate \( s \). Start by multiplying both sides by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \): \[ s = 3 \times \frac{4}{3} = 4. \] So, Alex made 4 servings of punch! Now, let’s talk about a fun fact: Did you know that punch has been enjoyed for centuries? Originating in the 17th century, punch was a mixed drink that sailors would enjoy, often combining five components—spirit, sugar, lemon, water, and tea or spices. If you’re preparing punch for a party, consider adding a twist! You can infuse your punch with herbal teas for a refreshing flavor, or try using sparkling water instead of still, giving it a bubbly touch that guests will love. Plus, garnishing with fresh fruits not only enhances the taste but also makes your punch bowl look visually appealing!

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