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The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find th...
4 months ago
Q:
The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.
Accepted Solution
A:
Let the price of book x. That's the cost the book dealer.
He wants to earn some money while selling it, so he listed the book by a new price, 91 $
He added two-fifth (2/5) price to its initial price. In other words, its new price is 40 % more expensive. (2/5 = x /100)
Here is the equation in words,
initial price + 2/5 of the initial price = 91
by equation: x + 2/5 x =91
multiply both sides by 5, to eliminate the denominator:
5x +2x = 91.5 ; 7x = 455
divide both sides by 7 to simply coefficient of x: x= 65
The answer is 65$.