Question
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Ms. Tarina orders a pizza. She and her friends eat \% of it for dinner. The next day, she gives \( 1 / 4 \) of the remaining pizza to Ms. Caroline for lunch (because she forgot her lunch at home). If Ms. Tarina eats the rest of it, how much pizza does she eat for lunch?

Ask by Reid Rodriquez. in the United States
Jan 30,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Ms. Tarina eats \( \frac{3}{8} \) of the pizza for lunch.

Solution

It appears there might be a minor formatting issue in your question regarding the percentage of the pizza eaten for dinner. However, I'll proceed by assuming **Ms. Tarina and her friends ate \(\frac{1}{2}\) (or 50%) of the pizza for dinner**. Here's a step-by-step breakdown: 1. **Initial Pizza**: Let's consider the entire pizza as **1** unit. 2. **Pizza Eaten for Dinner**: \[ \text{Dinner Consumption} = \frac{1}{2} \times 1 = \frac{1}{2} \] \[ \text{Remaining Pizza after Dinner} = 1 - \frac{1}{2} = \frac{1}{2} \] 3. **Pizza Given to Ms. Caroline for Lunch**: \[ \text{Given to Ms. Caroline} = \frac{1}{4} \times \frac{1}{2} = \frac{1}{8} \] 4. **Pizza Eaten by Ms. Tarina for Lunch**: \[ \text{Ms. Tarina's Portion} = \frac{1}{2} - \frac{1}{8} = \frac{3}{8} \] **Final Answer**: Ms. Tarina eats \(\frac{3}{8}\) of the pizza for lunch.

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The Deep Dive

Let’s break this scenario down into manageable pieces! If Ms. Tarina orders a pizza and eats 60% of it for dinner, then 40% remains. She then gives \( \frac{1}{4} \) of that remaining pizza to Ms. Caroline. So, \( \frac{1}{4} \times 40\% = 10\% \) of the pizza goes to Ms. Caroline. Now, Ms. Tarina has \( 40\% - 10\% = 30\% \) of the pizza left. Therefore, the amount of pizza Ms. Tarina eats for lunch is \( 30\% \) of the original pizza. Isn’t math just delightful? 🍕✨

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