Bond Lyons
03/21/2023 · Middle School

Learning Task 1: Read and anslyze each probletn carefully. Write your final answer in your notebook based on the given questions below. 1) There are \( 22 / 3 \) pizzas. How many people are sharing when each has \( 2 / 3 \) of pizza? 2) A plastic bottle of mineral holds 600 ml of water when it is \( 3 / 5 \) full. What is the capacity of the bottle 3) Joel spend \( 4 / 8 \) of his monthly salary for their groceries. After spending had Php 980 left. How much his monthly salary?

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Let's analyze and solve each problem step by step. ### Problem 1: **Question:** There are \( \frac{22}{3} \) pizzas. How many people are sharing when each has \( \frac{2}{3} \) of pizza? **Solution:** To find out how many people are sharing the pizzas, we need to divide the total amount of pizza by the amount each person gets. \[ \text{Number of people} = \frac{\text{Total pizzas}}{\text{Pizzas per person}} = \frac{\frac{22}{3}}{\frac{2}{3}} \] When dividing fractions, we multiply by the reciprocal: \[ \frac{\frac{22}{3}}{\frac{2}{3}} = \frac{22}{3} \times \frac{3}{2} = \frac{22 \times 3}{3 \times 2} = \frac{22}{2} = 11 \] **Final Answer:** 11 people are sharing the pizzas. --- ### Problem 2: **Question:** A plastic bottle of mineral water holds 600 ml of water when it is \( \frac{3}{5} \) full. What is the capacity of the bottle? **Solution:** Let \( C \) be the total capacity of the bottle. When the bottle is \( \frac{3}{5} \) full, it holds 600 ml. We can set up the equation: \[ \frac{3}{5}C = 600 \] To find \( C \), we can multiply both sides by the reciprocal of \( \frac{3}{5} \): \[ C = 600 \times \frac{5}{3} = 600 \times \frac{5}{3} = 1000 \] **Final Answer:** The capacity of the bottle is 1000 ml. --- ### Problem 3: **Question:** Joel spends \( \frac{4}{8} \) of his monthly salary on groceries. After spending, he has Php 980 left. How much is his monthly salary? **Solution:** Let \( S \) be Joel's monthly salary. He spends \( \frac{4}{8} \) of his salary, which simplifies to \( \frac{1}{2} \). Therefore, the amount he spends is: \[ \text{Amount spent} = \frac{1}{2}S \] After spending, he has Php 980 left, so we can write the equation: \[ S - \frac{1}{2}S = 980 \] This simplifies to: \[ \frac{1}{2}S = 980 \] To find \( S \), multiply both sides by 2: \[ S = 980 \times 2 = 1960 \] **Final Answer:** Joel's monthly salary is Php 1960.

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1) 11 people are sharing the pizzas. 2) The capacity of the bottle is 1000 ml. 3) Joel's monthly salary is Php 1960.
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