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Unlock the Mystery: Solve Grade 4 Math page 70 VBT Workbook Vol. 2, Practice Exercise 143 with detailed solutions for exercises 1, 2, and 3. This resource provides step-by-step guidance and answers to reinforce problem-solving skills related to finding two numbers given their difference and ratio.
Grade 4 Math Challenge: Page 70 VBT Workbook Vol. 2, Practice Exercise 143
1. Solve Problem 1 - Math Exercise Book Grade 4 Vol. 2 Page 70
Problem Statement:
The ratio of two numbers is 4/7. The difference between them is 15. Find the two numbers.
Solution Approach:
1. Diagram: Visualize the smaller number divided into 4 equal parts, then the larger number consists of 7 equal parts.
2. Find the difference of equal parts.
3. Determine the value of one part by dividing the difference of two numbers by the difference of equal parts.
4. Find the smaller number (multiply the value of one part by the number of parts in the smaller number).
5. Find the larger number (add the smaller number to the difference of the two numbers).
Note: Steps 3 and 4 can be combined into one step; you can find the larger number first and then find the smaller number later.
Answer:
According to the diagram, the difference of equal parts is:
7 - 4 = 3 (parts)
Smaller number is:
20 is obtained by multiplying the value of one part by the number of parts in the smaller number.
Larger number is:
35 is obtained by adding the smaller number to the difference of the two numbers.
Answer: Smaller number is 20; Larger number is 35
2. Solve Problem 2 - Math Exercise Book Grade 4 Vol. 2 Page 70
Problem Statement:
Fill in the blanks with the appropriate numbers
Solution Approach
Calculate the draft according to the steps below, then record the results in the table:
1. Represent the larger and smaller numbers based on the ratio of the two numbers.
2. Find the difference of equal parts.
Step 3: Find the value of one part by taking the difference of two numbers divided by the difference of equal parts.
Step 4: Find the smaller number (multiply the value of one part by the number of parts in the smaller number).
Step 5: Find the larger number (add the smaller number to the difference of the two numbers...).
Note: Steps 3 and 4 can be combined into one step; you can find the larger number first and then find the smaller number later.
Answer: The difference of equal parts is 2 (parts).
3. Solve Problem 3 - Math Exercise Book Grade 4 Vol. 2 Page 70
Problem Statement: The area of the larger rectangle exceeds the area of the square by 36m2. Calculate the area of each shape, knowing the area of the square is 3/5 of the area of the rectangle.
Answer: According to the diagram, the difference of equal parts is 2 (parts). The area of the square is 54m2, and the area of the rectangle is 90m2.
Solution: Represent the larger and smaller numbers based on the ratio of the two numbers.
2. Find the difference of equal parts.
3. Determine the value of one part by dividing the difference of two numbers by the difference of equal parts.
4. Identify the smaller number (multiply the value of one part by the number of parts in the smaller number).
Find the smaller number: Calculate the value of one part by multiplying it with the number of parts in the smaller number.
Find the larger number: Calculate the larger number by adding the smaller number to the difference of the two numbers.
Note: Steps 3 and 4 can be combined into one step; you can find the larger number first and then find the smaller number later.
Answer: The solution to the problem.
Calculate the difference of equal parts: Determine the difference of the number of parts in the larger and smaller numbers.
Smaller number: Calculate the area of the square by dividing the given value by the difference of equal parts.
Larger number: Calculate the area of the rectangle by adding the area of the square to the given value.
Answer: Area of the square is 54m2; Area of the rectangle is 90m2.
Rectangle Area: Calculate the area of the rectangle.
Calculation: Add 36 to 54 to get 90 (m2).
Answer: Area of the square is 54m2; Area of the rectangle is 90m2.
You are currently viewing the guide to solve Grade 4 Math page 70 VBT Workbook Volume 2, Practice Exercise 143. Review the solution for Grade 4 Math page 69 VBT Workbook Volume 2 Finding two numbers given their difference and ratio, or preview the instructions for Grade 4 Math page 71, 72 VBT Workbook Volume 2 Practice for a better understanding of the lesson.
