Specific and detailed solutions for exercises 6.1, 6.2, 6.3, 6.4, 6.5, 6.6 of the Proportions problem will be provided by the Math teacher at Mytour in the document Solving 7th Grade Math Page 8 Book 2 of Knowledge Connection Series. Students can refer to understand the methods and solve exercises easily.
Explore various good study materials for 7th Grade Math:
- Solving 7th Grade Math book of Knowledge Connection Series
- Solving 7th Grade Math Page 54 Book 1 of Kite Series - Exercise 5: Proportions
- Solving 7th Grade Math Page 10 Book 2 of Creative Horizon Series - Exercise 1: Proportions - Equal Ratio Sequences
Solving 7th Grade Math Page 7 Book 2, Knowledge Connection Series in Connection with Life:
Proportions
1. Solving Exercise 6.1 Page 7 Mathematics Textbook Grade 7
Problem: Replace the following ratios with ratios between integers.
Guidance:
Convert decimal numbers and mixed numbers to fractional form.
Perform fraction division.
Answer:
2. Solving Exercise 6.2 Page 7 Mathematics Textbook Grade 7
Problem: Find the equal ratios among the given ratios and then form a proportion.
Guidance:
Calculate each ratio sequentially and then compare them.
If two ratios are equal, a proportion can be formed.
Answer:
Given:
Thus, the two ratios 12 : 30 and 2.5 : 6.25 are equal. Hence, we can establish the proportion as follows:
3. Solving Exercise 6.3 Page 7 Mathematics Textbook Grade 7
Problem: Find x, among the following proportions:
Guidance:
Answer:
4. Solving Exercise 6.4 Page 7 Mathematics Textbook Grade 7
Problem: Form all possible proportions from the equation 14. (-15) = (-10).21.
Guidance:
Answer:
5. Solving Exercise 6.5 Page 7 Mathematics Textbook Grade 7
Problem: To prepare physiological saline solution, one needs to mix according to the correct ratio. Knowing that every 3 liters of distilled water are mixed with 27 grams of salt. If there are 45 grams of salt, how many liters of distilled water are needed to obtain physiological saline solution?
Guidance:
Calculate the ratio between 45 grams of salt and 27 grams of salt.
The ratio of the number of liters of distilled water needed and 27 liters equals the ratio calculated above.
Answer:
Let x be the number of liters of distilled water needed to mix with 45 grams of salt (x > 0).
So if there are 45 grams of salt, 5 liters of distilled water are needed to obtain physiological saline solution.
6. Solving Exercise 6.6 Page 7 Mathematics Textbook Grade 7
Problem: To plow an entire field in 14 days, 18 plows are needed. How many plows are needed to plow the field in 12 days (assuming the productivity of the plows is the same)?
Guidance:
Write the equation relating the quantities.
From that equation, calculate the number of plows needed to plow the entire field in 12 days.
Answer:
Here is a guide to solving 7th-grade math problems on page 7 of book 2. Students should refer to solving math problems on page 9, page 10 of book 2, and review solving math problems in book 1 to solidify their understanding.
- Solve 7th-grade math problems on page 9 of book 2, Knowledge Connection series - Exercise 21: Properties of equal sequences
- Solve 7th-grade math problems on page 10 of book 2, Knowledge Connection series - Concentrated exercise on page 10
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