Answer:
The original price of the book is $27
Step-by-step explanation:
Assume that the original price of each book is $x
∵ The book was on sale for $5 off of the original price
∵ The original price is $x
- To find the price on sale subtract 5 from x
∴ The price on sale = x - 5
∵ He bought 5 copies on the sale
∴ The total price of them = 5(x - 5)
∵ The total that he spent on 5 books was $2 more than he
would have spent on 4 copies of the book at the original price
∵ The price of the 4 copies = 4 x
- Subtract 4 x from the price on sale and equate the difference by 2
∴ 5(x - 5) - 4 x = 2
- Simplify the left hand side
∴ 5 x - 25 - 4 x = 2
- Add the like term
∴ x - 25 = 2
- Add 25 to both sides
∴ x = 27
∵ x is the original price of each book
∴ The original price of the book is $27
