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A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are filled in plastic
bottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass of
a full bottle of soap is 220 gm and that of a half-filled bottle is 120 gm. A carton contains both fragrant
and non-fragrant liquid soap bottles.
Write an equation representing the number of fragrant and non-fragrant bottles in the carton.?
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Most Upvoted Answer
A soap manufacturer makes fragrant and non-fragrant liquid soaps. The ...
Solution:

Let x be the number of fragrant liquid soap bottles and y be the number of non-fragrant liquid soap bottles in the carton.

Mass of a full bottle of soap:
- The mass of a full bottle of soap is 220 gm.

Mass of a half-filled bottle of soap:
- The mass of a half-filled bottle of soap is 120 gm.

Total bottles in a carton:
- Each carton contains 50 bottles.

Equation representing the number of fragrant and non-fragrant bottles:
- Since each carton contains 50 bottles, we have:
x + y = 50 (equation 1)
- The total mass of the bottles in the carton can be calculated using the masses of full and half-filled bottles:
220x + 120y = total mass of the carton (equation 2)

Explanation:
- Equation 1 represents the total number of fragrant and non-fragrant bottles in the carton.
- Equation 2 represents the total mass of the bottles in the carton based on the masses of full and half-filled bottles.

Conclusion:
- By solving equations 1 and 2 simultaneously, we can determine the number of fragrant and non-fragrant liquid soap bottles in the carton.
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Question No. 47 to 52 are based on the given text. Read the text carefully and answer the questions:In the past, peasants and workers had participated in revolts against increasing taxes and food scarcity.But they lacked the means and programmes to carry out full-scale measures that would bring about a change in the social and economic order. This was left to those groups within the third estate who had become prosperous and had access to education and new ideas. The eighteenth-century witnessed the emergence of social groups, termed the middle class, who earned their wealth through expanding overseas trade and from the manufacture of goods such as woollen and silk textiles that were either exported or bought by the richer members of society. In addition to merchants and manufacturers, the third estate included professions such as lawyers or administrative officials. All of these were educated and believed that no group in society should be privileged by birth. Rather, a person’s social position must depend on his merit. These ideas envisaging a society based on freedom and equal laws and opportunities for all were put forward by philosophers such as John Locke and Jean Jacques Rousseau.In his Two Treatises of Government, Locke sought to refute the doctrine of the divine and absolute right of the monarch. Rousseau carried the idea forward, proposing a form of government based on a social contract between people and their representatives. In The Spirit of the Laws, Montesquieu proposed a division of power within the government between the legislative, the executive and the judiciary. This model of government was put into force in the USA after the thirteen colonies declared their independence from Britain. The American constitution and its guarantee of individual rights was an important example for political thinkers in France.Q.Besides merchants and manufacturers, the third estate included ________ and ________.

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A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are filled in plasticbottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass ofa full bottle of soap is 220 gm and that of a half-filled bottle is 120 gm. A carton contains both fragrantand non-fragrant liquid soap bottles.Write an equation representing the number of fragrant and non-fragrant bottles in the carton.?
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A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are filled in plasticbottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass ofa full bottle of soap is 220 gm and that of a half-filled bottle is 120 gm. A carton contains both fragrantand non-fragrant liquid soap bottles.Write an equation representing the number of fragrant and non-fragrant bottles in the carton.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are filled in plasticbottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass ofa full bottle of soap is 220 gm and that of a half-filled bottle is 120 gm. A carton contains both fragrantand non-fragrant liquid soap bottles.Write an equation representing the number of fragrant and non-fragrant bottles in the carton.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A soap manufacturer makes fragrant and non-fragrant liquid soaps. The liquid soaps are filled in plasticbottles and packed in equal size cartons for transportation. Each carton contains 50 bottles. The mass ofa full bottle of soap is 220 gm and that of a half-filled bottle is 120 gm. A carton contains both fragrantand non-fragrant liquid soap bottles.Write an equation representing the number of fragrant and non-fragrant bottles in the carton.?.
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