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Question \( \# 2 \) Gus and Jana make iced tea. Each pitcher of iced tea has \( \frac{1}{6} \) cup of sugar in it. If Gus and Jana make 3 pitchers of iced tea, how much sugar do they use?

Ask by Dunn Allan. in the United States
Feb 03,2025

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Answer

They use \( \frac{1}{2} \) cup of sugar in total.

Solution

To determine the total amount of sugar Gus and Jana use for 3 pitchers of iced tea, follow these steps: 1. **Identify the amount of sugar per pitcher:** Each pitcher contains \( \frac{1}{6} \) cup of sugar. 2. **Calculate the total sugar for 3 pitchers:** Multiply the sugar per pitcher by the number of pitchers: \[ 3 \times \frac{1}{6} = \frac{3}{6} \] 3. **Simplify the fraction:** \[ \frac{3}{6} = \frac{1}{2} \] **Answer:** They use \( \frac{1}{2} \) cup of sugar in total.

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When Gus and Jana prepare their tasty iced tea, they use \( \frac{1}{6} \) cup of sugar for each pitcher. For 3 pitchers, they would multiply the sugar for one pitcher by the number of pitchers: \[ \text{Total Sugar} = 3 \times \frac{1}{6} = \frac{3}{6} = \frac{1}{2} \text{ cup of sugar.} \] So, they'll need half a cup of sugar to sweeten up their delightful tea! Using fractions can be tricky! A common mistake is to forget to multiply the numerators while keeping the denominators consistent. When working with fractions, remember to simplify whenever possible, like turning \( \frac{3}{6} \) into \( \frac{1}{2} \) to avoid confusion and make it easier to understand how much sugar to grab from the pantry!

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