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store gives a batch of books to several regular customers. if each cust…

Question

store gives a batch of books to several regular customers. if each customer gets 4 books, there will be 2 books left over. if each gets 5 books, there will be 4 books short. assuming there are ( x ) customers, which of the following equations is correct?
a ( 4x + 2 = 5x - 4 )
b ( 4x + 4 = 5x + 2 )
c ( 4x - 2 = 5x + 4 )
d ( 4x - 4 = 5x - 2 )

Explanation:

Step1: Define total books (4 per customer)

Total books = $4x + 2$

Step2: Define total books (5 per customer)

Total books = $5x - 4$

Step3: Equate the two expressions

$4x + 2 = 5x - 4$

Answer:

A. $4x + 2 = 5x - 4$