I went to Half Priced Books and purchased 15 books. I paid $2 each for some and $3 each for the rest of the books. How many $2 books did I buy if I spent $34?

Thus the number of books at $2 is 9 books.

Step-by-step explanation:

The number of the book purchased = 15 books

Total amount spend to buy the books = $34

The prices of books are $2 and $3.

Let the number of books purchased at price  $2 = x

Let the number of books purchased at price  $3 = y

Now we have to find the number of books that is bought at $2.

Below are the equations.

x + y = 15

2x + 3y = 34

Now solve for the x,  

x + y = 15

y = 15 – x

Now insert it in the 2x + 3y = 34

2x + 3(15-x) = 34

2x + 45 – 3x = 34

-x = 34 – 45

x = 9

Thus the number of books at $2 is 9 books.

113/24

Step-by-step explanation:

Simplify the following:

(14 + 1/8)/3

Put 14 + 1/8 over the common denominator 8. 14 + 1/8 = (8×14)/8 + 1/8:

((8×14)/8 + 1/8)/3

8×14 = 112:

(112/8 + 1/8)/3

112/8 + 1/8 = (112 + 1)/8:

((112 + 1)/8)/3

112 + 1 = 113:

(113/8)/3

113/8×1/3 = 113/(8×3):

113/(8×3)

8×3 = 24:

113/24