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Detailed solutions and guidance for exercises 1, 2, 3 closely following the lesson content. Students can refer to grasp the knowledge and solving method of this type of problem.
Solving math problems for grade 4, page 62, 63 VBT exercise 2, Finding two numbers when knowing the sum and the ratio of those two numbers, exercise 138
1. Solve exercise 1 - Workbook for grade 4 math exercise 2 page 62
Write the appropriate number or ratio in the blank:
a)
The sum of two numbers is .......
The smaller number is represented by ....... parts equal
The smaller number is represented by ....... parts equal
The larger number is represented by ....... parts like that
The ratio of the smaller number to the larger number is .......
The total number of equal parts is ....... parts.
The ratio of the larger number to the smaller number is .......
The sum of two numbers is .......
The larger number is represented by ....... parts equal
The smaller number is represented by ....... parts like that
The ratio of the larger number to the smaller number is .......
The total number of equal parts is ....... parts
Solution Method
Carefully observe the given diagram to complete the given exercise.
The answer is
a)
The sum of two numbers is 35
The smaller number is represented by 3 parts equal
The larger number is represented by 4 parts like that
The ratio of the smaller number to the larger number is 3/4
The total number of equal parts is 7 parts.
b)
The sum of two numbers is 63
The larger number is represented by 5 parts equal
The smaller number is represented by 4 parts like that
The ratio of the larger number to the smaller number is 5/4
The total number of equal parts is 9 parts
2. Solve Exercise 2 - Workbook for Grade 4 Math Exercise 2 Page 63
Question:
The sum of two numbers is 45. The ratio of those two numbers is 3/2. Find those two numbers.
Method:
1. Find the total number of equal parts.
2. Find the value of 1 part by dividing the sum of two numbers by the total number of equal parts.
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 (multiply the value of one part by the number of parts of the larger number).
Answer
According to the diagram, the total number of equal parts is:
2 + 3 = 5 (parts)
The smaller number is: 45 : 5 x 2 = 18
The larger number is 45 - 18 = 27
Answer: Smaller number: 18; Larger number: 27
3. Solve exercise 3 - Workbook for grade 4 math exercise 2 page 63
Question
A store sold 49kg of rice, where the amount of sticky rice is equal to 2/5 of the non-sticky rice. How many kilograms of each type did the store sell?
Solution Method
1. Draw a diagram: consider the amount of sticky rice (acting as the smaller number) consisting of 2 equal parts, then the amount of non-sticky rice (acting as the larger number) consisting of 5 parts like that.
2. Find the total number of equal parts.
3. Find the value of 1 part by dividing the sum of two numbers by the total number of equal parts.
4. Find the smaller number (multiply the value of one part by the number of parts of the smaller number).
5. Find the larger number (multiply the value of one part by the number of parts of the larger number).
Answer
According to the diagram, the total number of equal parts is:
2 + 5 = 7 (parts)
The kilograms of sticky rice the store sold is:
49 : 7 x 2 = 14(kg)
The kilograms of non-sticky rice the store sold is:
49 - 14 = 35 (kg)
Answer: Sticky rice 14kg; Non-sticky rice: 35 kg
You are viewing the instructions for solving math problems for grade 4 pages 62, 63 in VBT workbook 2, finding two numbers when knowing their sum and ratio, problem 138. You can review the instructions for solving math problems for grade 4 pages 61, 62 in VBT workbook 2 Introduction to Ratio or preview the instructions for solving math problems for grade 4 page 64 in VBT workbook 2 Practice to understand more about the lesson.
