Brewer Gibson
04/08/2024 · High School

VII. Post Test Use the 4 -step plan to solve the problems. 1. The price of electricity is \( P 6.50 \) per kilowatt hour. If a television set ran from 7:30am to 12;00pm, how much electricity was consumed? 2. Mother gave half of her moriey to her dauighter and halfof her remaining money to her son. If she has exactly P23. 50 left, how much money did she have at first? 3. A kilo of grapes costs F200.50. How much will you pay if you buy 3 kilos? 4. Crio consumed 1.956 liters of water in one day. How many liters of water can Crio consume in one week? 5. If \( 3.45 \times 5613=19364.85 \), what is the product of 3.450 and 5613 ?

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To solve the problems using the 4-step plan (Understand the problem, Plan the solution, Solve the problem, and Check the solution), let's go through each one: ### Problem 1 **1. Understand the problem:** We need to find out how much electricity was consumed by a television set running from 7:30 am to 12:00 pm. **2. Plan the solution:** Calculate the total time the television was on in hours, then multiply by the price per kilowatt hour to find the total cost. **3. Solve the problem:** - Time from 7:30 am to 12:00 pm is 4.5 hours (from 7:30 to 12:00). - Electricity consumed = \( 4.5 \, \text{hours} \times P6.50 \, \text{per hour} = P29.25 \). **4. Check the solution:** 4.5 hours multiplied by P6.50 gives P29.25, which is correct. ### Problem 2 **1. Understand the problem:** We need to find out how much money Mother had initially if she gave half to her daughter and half of the remaining to her son, leaving her with P23.50. **2. Plan the solution:** Let \( x \) be the initial amount of money. After giving half to her daughter, she has \( \frac{x}{2} \). Then she gives half of that to her son, leaving her with \( \frac{x}{2} - \frac{1}{2} \left(\frac{x}{2}\right) = \frac{x}{4} \). Set this equal to P23.50 and solve for \( x \). **3. Solve the problem:** \[ \frac{x}{4} = 23.50 \\ x = 23.50 \times 4 = 94.00 \] **4. Check the solution:** If she had P94.00, she gives P47.00 to her daughter, leaving her with P47.00. She then gives P23.50 to her son, leaving her with P23.50, which is correct. ### Problem 3 **1. Understand the problem:** We need to find the total cost of buying 3 kilos of grapes at P200.50 per kilo. **2. Plan the solution:** Multiply the cost per kilo by the number of kilos. **3. Solve the problem:** \[ \text{Total cost} = 3 \, \text{kilos} \times P200.50 = P601.50 \] **4. Check the solution:** 3 times P200.50 equals P601.50, which is correct. ### Problem 4 **1. Understand the problem:** We need to find out how many liters of water Crio can consume in one week if he consumes 1.956 liters in one day. **2. Plan the solution:** Multiply the daily consumption by the number of days in a week (7). **3. Solve the problem:** \[ \text{Weekly consumption} = 1.956 \, \text{liters/day} \times 7 \, \text{days} = 13.692 \, \text{liters} \] **4. Check the solution:** 1.956 times 7 equals 13.692, which is correct. ### Problem 5 **1. Understand the problem:** We need to find the product of 3.450 and 5613, given that \( 3.45 \times 5613 = 19364.85 \). **2. Plan the solution:** Recognize that \( 3.450 \) is the same as \( 3.45 \) but with an additional zero, which means we can multiply the given product by 10. **3. Solve the problem:** \[ 3.450 \times 5613 = 10 \times (3.45 \times 5613) = 10 \times 19364.85 = 193648.5 \] **4. Check the solution:** Multiplying 19364.85 by 10 gives 193648.5, which is correct. ### Summary of Answers: 1. P29.25 2. P94.00 3. P601.50 4. 13.692 liters 5. 193648.5

Quick Answer

1. P29.25 2. P94.00 3. P601.50 4. 13.692 liters 5. 193648.5
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