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Description: Explore the solutions and step-by-step guidance for Exercise 142 in 4th-grade math on page 69 of VBT volume 2. This resource provides answers and instructions for exercises 1, 2, 3, aiding students in understanding the concepts and solving problems related to finding two numbers when knowing their difference and ratio.
Summary: Solving 4th-grade Math on Page 69 VBT Volume 2 - Finding Two Numbers Given Their Difference and Ratio, Exercise 142
1. Solve Problem 1 - Math Workbook for 4th Grade Volume 2 Page 69
Problem Statement:
Fill in the blanks with numbers or ratios:
a)
The difference of two numbers is ................
The large number is represented by ......... equal parts
The small number is represented by ......... parts like this
The difference of equal parts is ......... parts
b)
The difference of two numbers is .........
The small number is represented by ......... equal parts
The large number is represented by ......... parts like this
The ratio of the small number to the large number is .........
The difference of equal parts is ......... parts
Solution Method
Observe the diagram to complete the given exercise.
Answer
a)
The difference of two numbers is 12
The larger number is represented by 5 parts equal
The smaller number is represented by 2 parts like this
The difference of equal parts is 3 parts
b)
The difference of two numbers is 8
The smaller number is represented by 3 parts equal
The larger number is represented by 4 parts like this
The ratio of the smaller number to the larger number is 3/4
The difference of equal parts is 1 part
2. Solve problem 2 - Math workbook for 4th grade volume 2 page 69
Problem:
The difference of two numbers is 34. The ratio of the two numbers is 5/3. Find the two numbers.
Solution Method
1. Find the difference of equal parts.
2. Find the value of 1 part by subtracting the two numbers' difference from the difference 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 (add the smaller number to the difference of two numbers ...).
Note: Steps 2 and 3 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:
5 - 3 = 2 (parts)
The larger number is: 34 : 2 x 5 = 85
The smaller number is: 85 - 34 = 51
Answer: Larger number: 85; Smaller number: 51
3. Solve problem 3 - Math workbook for 4th grade volume 2 page 69
Problem
The length of road segment AB is 2km shorter than road segment CD. Find the length of each road segment, knowing that the length of road segment AB is 3/4 of the length of road segment CD.
Solution Method
Find two numbers according to the problem of finding two numbers when you know their sum and ratio.
Answer
The difference of equal parts according to the diagram:
1 (part)
Road segment AB is:
2 : 1 x 3 = 6 (km)
Road segment CD is:
6 + 2 = 8 (km)
Answer: Road segment AB 6km; Road segment CD 8km
You are currently viewing the guide for solving 4th-grade math on page 69 of VBT volume 2. Finding two numbers given their difference and ratio, Exercise 142. You can review the guide for solving 4th-grade math on pages 67, 68 of VBT volume 2 for focused practice or preview the guide for solving 4th-grade math on page 70 of VBT volume 2 for further understanding of the lesson.
