At a bookstore, 960 books were placed on the discount shelf for 70% off the regular price. if 2/3 of the books sold, how many books remain on the discount shelf?
a.
320 books
b.
296 books
c.
293 books
d.
332 books
e.
356 books
f.
none of the above.

The answer is a. 320 books

Step-by-step explanation:

Hi

first of all, we can see  "discount shelf for 70% off the regular price." is irrelevant info and a distraction, so we can use the info "If 2/3 of the books sold" then

Now we can find the number of books remaining on the discount shelf

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.