Question

a small town buys a total of 35 books that cost $1022. Some of the books cost $22 each, and the remainder cost $34 per book. How many books of each price did they get

Answer 1

They got 14 books at $22 and 21 books at $34.

Explanation:

From the information given, you can write the following expressions:

x+y=35 (1)

22x+34y=1022 (2), where:

x is the number of books that cost $22

y is the number of books that cost $34

First, you can solve for x in (1):

x=35-y (3)

Then, you can replace (3) in (2) and solve for y:

22(35-y)+34y=1022

770-22y+34y=1022

12y=1022-770

12y=252

y=252/12

y=21

Finally, you can replace the value of y in (3) to find x:

x=35-y

x=35-21

x=14

According to this, the answer is that they got 14 books at $22 and 21 books at $34.