a certain book costs 12 more in the local retail bookstore than on amazon.if amazon price 2/3 of retail price

Question

how much does the book cost retail?explain me in short method sir and how to know that we have to divide while solving

Answer 1

let n=retail price

the retail price is $12 more than Amazon's price

Amazon's price is (2/3)n

put these facts together in an equation...

n=12+(2/3)n

n-(2/3)n=12

(1/3)n=12

multiply both sides by 3

3(1/3)n=3(12)

n=$36 retail price

Answer 2

Hi Maliha, 

 

Here is how you would solve this word problem. 

 

Lets denote the cost of the book in 

 

Retail = R

 

Amazon = A

 

It is given that 

 

R = 12 + A  ------> (Equation 1) 

 

and 

 

A = (2/3) R  -----> (Equation 2)

 

Now, since we are interested in the cost of the book in "Retail", substitute the value of "A" from Equation 2 in Equation 1

 

We get,

 

R = 12 + (2/3) R

 

To solve this, bring all the "R" terms on the same side

 

R - (2/3) R = 12

 

R ((3-2)/3) = 12

 

R (1/3) = 12

 

Solution: R = 36 

 

Hence, the Retail price of the book is 36 and the Amazon price of the book is (2/3)*36 = 24