Question:
cost of 6pens and 8 books is equal of the cost 3 pens and 10 books. then what is the ratio of 1 book and 1 pen
Answer:
Let the cost of one pen is x and the cost of one book is y
Given, the cost of 6 pens and 8 books is equal to the cost 3 pens and 10 books
=> 6x + 8y = 3x + 10y
=> 6x + 8y - 3x = 10y
=> 3x + 8y = 10y
=> 3x = 10y - 8y
=> 3x = 2y
=> 2y = 3x
=> y = 3x/2
=> y/x = 3/2
=> y : x = 3 : 2
So, the ratio of one book and one pen is 3 : 2
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