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Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy?
Verified Answer
Ranjana mother gave her 245 ruppes for buying new cards if she got som...
She bought:10 rupee cards: x
5 rupee cards: 2/3 x
15 rupee cards:1/5 x
So the equation is10x + 5*(2/3 x) + 15(1/5 x) = 245
So
x = 15
So
She bought:10 rupee cards: 15
5 rupee cards: 10
15 rupee cards:3
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Ranjana mother gave her 245 ruppes for buying new cards if she got som...
Problem Overview
Ranjana's mother gave her 245 rupees to buy new cards. The purchases consist of three types of cards: 10 rupee cards, 5 rupee cards, and 15 rupee cards. The quantity of each type of card is determined by specific ratios.
Types of Cards and Their Ratios
- Ranjana buys:
- 10 rupee cards: Let the number of 10 rupee cards be x.
- 5 rupee cards: She buys 2/3 as many as the 10 rupee cards, which is (2/3)x.
- 15 rupee cards: She buys 1/5 as many as the 10 rupee cards, which is (1/5)x.
Setting Up the Equation
To find the total cost of the cards, we can set up the following equation based on the total amount of money Ranjana has:
- Total Cost = (Number of 10 rupee cards * 10) + (Number of 5 rupee cards * 5) + (Number of 15 rupee cards * 15)
Substituting in the quantities:
- Total Cost = (x * 10) + ((2/3)x * 5) + ((1/5)x * 15)
This can be simplified to:
- 10x + (10/3)x + 3x = 245
Combining Like Terms
- To combine the terms:
- Convert to a common denominator (15):
- (150/15)x + (50/15)x + (45/15)x = 245
- (245/15)x = 245
Solving for x:
- x = 15
Calculating the Number of Each Card
- 10 rupee cards: x = 15
- 5 rupee cards: (2/3)x = 10
- 15 rupee cards: (1/5)x = 3
Conclusion
Ranjana bought:
- 15 cards of 10 rupees
- 10 cards of 5 rupees
- 3 cards of 15 rupees
This way, she successfully utilized the 245 rupees her mother provided.
Ranjana's mother gave her 245 rupees to buy new cards. The purchases consist of three types of cards: 10 rupee cards, 5 rupee cards, and 15 rupee cards. The quantity of each type of card is determined by specific ratios.
Types of Cards and Their Ratios
- Ranjana buys:
- 10 rupee cards: Let the number of 10 rupee cards be x.
- 5 rupee cards: She buys 2/3 as many as the 10 rupee cards, which is (2/3)x.
- 15 rupee cards: She buys 1/5 as many as the 10 rupee cards, which is (1/5)x.
Setting Up the Equation
To find the total cost of the cards, we can set up the following equation based on the total amount of money Ranjana has:
- Total Cost = (Number of 10 rupee cards * 10) + (Number of 5 rupee cards * 5) + (Number of 15 rupee cards * 15)
Substituting in the quantities:
- Total Cost = (x * 10) + ((2/3)x * 5) + ((1/5)x * 15)
This can be simplified to:
- 10x + (10/3)x + 3x = 245
Combining Like Terms
- To combine the terms:
- Convert to a common denominator (15):
- (150/15)x + (50/15)x + (45/15)x = 245
- (245/15)x = 245
Solving for x:
- x = 15
Calculating the Number of Each Card
- 10 rupee cards: x = 15
- 5 rupee cards: (2/3)x = 10
- 15 rupee cards: (1/5)x = 3
Conclusion
Ranjana bought:
- 15 cards of 10 rupees
- 10 cards of 5 rupees
- 3 cards of 15 rupees
This way, she successfully utilized the 245 rupees her mother provided.
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Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy?
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Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy?.
Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ranjana mother gave her 245 ruppes for buying new cards if she got some 10 rupee card 2/3as many five rupee card and 1/5 as many 15 rupee card how many of each kind did she buy?.
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