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Solving math problems Grade 4 pages 110 and 111 VBT Workbook Volume 2, Review on finding two numbers when knowing the sum or difference and the ratio of those two numbers, exercise 171 detailed solution for exercises 1, 2, 3... according to the curriculum helps students visualize how to do, grasp the lesson content, apply it to problem solving.
Solving math problems Grade 4 pages 110 and 111 VBT Workbook Volume 2, Review on finding two numbers when knowing the sum or difference and the ratio of those two numbers, exercise 171
1. Solve exercise 1 - Math workbook Grade 4 exercise book 2 page 110
Problem:
Find a and b then write them in the blank spaces:
Solution Method
1. Represent the smaller number and the larger number by equal parts based on the ratio of the two numbers.
Find the total number of equal parts and determine the value of one part.
Find the smaller number (multiply the value of one part by the number of parts of the smaller number).
Find the larger number (subtract the smaller number from the sum of the two numbers, ...).
Answer
2. Solve Problem 2 - Math Workbook Grade 4 Exercise 2 Page 110
Problem:
Find x and y:
Solution Method
1. Represent the larger and smaller numbers by equal parts based on the ratio of the two numbers.
2. Find the difference in the number of equal parts and determine the value of one part.
3. Find the smaller number (multiply the value of one part by the number of parts of the smaller number).
4. Find the larger number (add the smaller number to the difference of the two numbers ...).
Answer
3. Solve Problem 3 - Math Workbook Grade 4 Exercise 3 Page 110
Problem:
A sports team has 370 members, with the number of females being 2/3 of the males. How many male athletes and female athletes are there in the team?
Answer
1. Draw a diagram
2. Find the total number of equal parts and determine the value of one part
3. Find the smaller number by multiplying the value of one part by the number of parts
Find the larger number (add the two numbers and subtract the smaller one, ...).
Answer
According to the diagram, the total number of equal parts:
3 + 2 = 5 (parts)
The number of male athletes is:
370 : 5 x 3 = 222 (people)
The number of female athletes is:
370 - 222 = 148 (people)
Answer: Male: 222 athletes; Female: 148 athletes
4. Solve Problem 4 - Math Workbook Grade 4 Exercise 2 Page 110
Problem:
The ratio of two numbers is 3 : 7. Find these two numbers, knowing that if the smaller number increases by 76 units, it becomes the larger number.
Solution Method:
1. Draw a diagram
2. Find the difference in the number of equal parts and determine the value of one part.
3. Find the smaller number (multiply the value of one part by the number of parts of the smaller number).
Solution Method:
1. Draw a diagram
Since the smaller number increases by 76 units to become the larger number, the larger number is 76 units greater than the smaller number.
We have the diagram :
According to the diagram, the difference in the number of equal parts is :
7 - 3 = 4 (parts)
The larger number is :
76 ÷ 4 x 7 = 133
The smaller number is :
133 - 76 = 57
Answer: Smaller number: 57 ; Larger number: 133.
You are currently viewing the guide to solve the math problem on page 110, 111 of VBT Grade 4 Workbook, Reviewing how to find two numbers given their sum or difference and the ratio of those numbers in exercise 171. You can review the guide on page 108, 109 of VBT Grade 4 Workbook, Reviewing how to find two numbers given their sum and difference, or preview the guidance on page 111, 112, 113 of VBT Grade 4 Workbook, Focusing practice to understand more about the lesson.
