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Kelly made fruit punch to serve at a party for her chess team. She mixed \( 1^{2} \frac{2}{5} \) liters of cranberry juice and \( 1 \frac{3}{5} \) liters of pineapple juice together. Then, she split the fruit punch evenly among 9 glasses. How much fruit punch did Kelly pour into each glass? Write your answer as a whole number, fraction, or mixe. ber Simplify any froctions liters

Ask by Chandler O'Quinn. in the United States
Jan 25,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Kelly poured \(\frac{1}{3}\) liters of fruit punch into each glass.

Solution

Let's break down the problem step by step: 1. **Amounts of Juices Mixed:** - **Cranberry Juice:** \( 1 \frac{2}{5} \) liters - **Pineapple Juice:** \( 1 \frac{3}{5} \) liters 2. **Convert Mixed Numbers to Improper Fractions:** - \( 1 \frac{2}{5} = \frac{7}{5} \) liters - \( 1 \frac{3}{5} = \frac{8}{5} \) liters 3. **Total Fruit Punch:** \[ \frac{7}{5} + \frac{8}{5} = \frac{15}{5} = 3 \text{ liters} \] 4. **Distribute Evenly Among 9 Glasses:** \[ \frac{3 \text{ liters}}{9 \text{ glasses}} = \frac{1}{3} \text{ liters per glass} \] **Final Answer:** Kelly poured \(\frac{1}{3}\) liters of fruit punch into each glass.

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The Deep Dive

To find out how much fruit punch Kelly poured into each glass, we first need to sum the two types of juice she used. 1. Convert the mixed numbers to improper fractions: - Cranberry juice: \(1^{2} \frac{2}{5} = \frac{7}{5}\) liters - Pineapple juice: \(1 \frac{3}{5} = \frac{8}{5}\) liters 2. Add the two amounts: \[ \frac{7}{5} + \frac{8}{5} = \frac{15}{5} = 3 \text{ liters} \] 3. Now, divide the total amount of fruit punch by the number of glasses: \[ \frac{3 \text{ liters}}{9 \text{ glasses}} = \frac{1}{3} \text{ liters per glass} \] So, Kelly poured \(\frac{1}{3}\) liters of fruit punch into each glass. --- Think of punch as a teamwork drink! Just like in chess, every ingredient contributes to the big picture. Kelly's combo of cranberry and pineapple creates a delightful balance of flavors, perfect for strategizing over your next chess move. Next time you make punch, consider adding fun garnishes like orange slices or mint leaves. It’s an instant upgrade and makes serving a breeze, ensuring that everyone at the party has a refreshing experience as they discuss their recent chess victories!

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