Alyssa had 284 dollars to spend on 7 books. After buying them she had 18 dollars. How much did each book cost

Answer:38

Cost of each of the seven book of Alyssa is 38 dollars.

Solution:

Given that initial amount with Alyssa = 284 dollars

Number of books she purchased = 7

Amount remaining after buying the books = 18 dollar

Lets first find amount spent by her on 7 books

Amount spent on seven books = Initial amount - Amount left after buying books

= 284 - 18 = 266

So Amount spent on seven books = 266.

to solve further we need to consider that cost of each book is same.

lets assume cost of 1 book = "x" dollars

So cost of 7 books = 7x dollars

Amount spent on seven book = cost of 7 books

=> 266 = 7x

solving the above equation for x

=> x = 266/7 = 38 dollars

Hence cost of each of the seven book is x = 38 dollars.