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L \( 0 / 1 \) 23- Emily works at the coffee shop, The coffee cups can hold \( 7 / 9 \) of a pint of liguld, if Emily pours \( 2 / 3 \) of a pint of coffee how much milk can a customer add? a) The customer can put in \( 2 / 9 \) of a pint of milk in the cup. b) The customer can put in \( 3 / 9 \) of a pint of milk in the cup. (5) The customer can put in \( 1 / 9 \) of a pint of milk in the cup. (d) The customer can put in \( 5 / 9 \) of a pint of milk in the cup.

Ask by Gray Goodwin. in Saudi Arabia
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The customer can add \( \frac{1}{9} \) of a pint of milk to the cup.

Solution

To determine how much milk a customer can add to the coffee cup, let's break down the problem step by step. 1. **Capacity of the Coffee Cup:** - The cup can hold a total of \( \frac{7}{9} \) of a pint of liquid. 2. **Amount of Coffee Poured:** - Emily pours \( \frac{2}{3} \) of a pint of coffee into the cup. 3. **Convert Fractions to a Common Denominator:** - To make the calculations easier, convert \( \frac{2}{3} \) to ninths since the cup's capacity is given in ninths. - \( \frac{2}{3} = \frac{6}{9} \) 4. **Calculate Remaining Capacity for Milk:** - Subtract the amount of coffee poured from the total capacity of the cup: \[ \frac{7}{9} - \frac{6}{9} = \frac{1}{9} \] **Conclusion:** The customer can add \( \frac{1}{9} \) of a pint of milk to the cup. **Answer:** **c) The customer can put in \( \frac{1}{9} \) of a pint of milk in the cup.**

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Extra Insights

To figure out how much milk the customer can add, we first determine how much coffee and milk can fit in the cup. The coffee cup can hold \( \frac{7}{9} \) of a pint, and Emily pours \( \frac{2}{3} \) of a pint of coffee. First, convert \( \frac{2}{3} \) to a fraction with a denominator of 9. \( \frac{2}{3} = \frac{6}{9} \). Now, subtract the amount of coffee from the total capacity of the cup: \[ \frac{7}{9} - \frac{6}{9} = \frac{1}{9}. \] So, the customer can add \( \frac{1}{9} \) of a pint of milk, which corresponds to option (c). The answer is (c) The customer can put in \( \frac{1}{9} \) of a pint of milk in the cup. In a fun twist, it's like a little puzzle - Emily and the customer are teaming up to create the perfect cup of coffee! Who knew math could be so delicious? You might want to consider brewing this arithmetic magic into your daily routine as a delightful coffee ritual—perhaps even involve friends in evaluating what mix of coffee and milk they enjoy the most!

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