Buzz
Guidance on solving problem 1 on page 18 of Math 5 Textbook
Problem statement:
a) Find two numbers whose sum is 80, where the first number is 7/9 of the second number.
b) Find two numbers whose difference is 55, where the first number is 9/4 of the second number.
Solution Method:
1. Solving the problem using Sum - Ratio method:
- Summarize the problem with a line segment diagram (ensuring all segments have equal length)
- Find the total number of equal parts
- Determine the value of one part by dividing the total by the total number of equal parts.
- Find the smaller number by multiplying the value of one part by the number of parts of the smaller number.
- Find the larger number by multiplying the value of one part by the number of parts of the larger number.
2. Solving the problem using Difference - Ratio method:
- Summarize the problem with a line segment diagram (ensuring all segments have equal length)
- Find the difference in the number of equal parts
- Find the value of one part by dividing the difference by the difference in the number of equal parts.
- Find the smaller number by multiplying the value of one part by the number of parts of the smaller number.
- Find the larger number by multiplying the value of one part by the number of parts of the larger number.
Answer:
a) We have the diagram:
According to the diagram, the total number of equal parts is:
7 + 9 = 16 (parts)
The first number is:
80 divided by 16 times 7 equals 35
The second number is:
80 minus 35 equals 45
Answer: 35 and 45.
b) We have the diagram:
According to the diagram, the difference in the number of equal parts is:
9 minus 4 equals 5 (parts)
The second number is:
The calculation yields 44.
The first number is:
99 is the result of adding 44 and 55.
The answer is 99 and 44.
Here is the guide for solving exercise 1 on page 18 of the Math 5 textbook. Additionally, this section includes 2 other exercises: Solving Exercise 2 on Page 18 of Math 5 Textbook and Solving Exercise 3 on Page 18 of Math 5 Textbook. Let's explore the instructions for solving exercises on page 18 of Math 5 Textbook to excel in 5th-grade Math.
