Question

Write a problem based on the given information.
b = price of a book
0.065b = tax
2(b + 0.065b) = 42.49
a.The sales tax at a bookstore is 6.5%. How many books did the customer buy if she spent $42.49?
b.The sales tax at a bookstore is 6.5%. If a customer buys two of each book, how many different books can she buy with $42.49?
c.The cost of two books is 42.49. What is the sales tax if the cost of one book is 0.065?
d.The tax of a book is 0.065b whenever you buy two or more books. How many books can you buy for $42.49?

Answer 1

I can help you

Answer 2

ok thx, what do you think? i know it's not c

Answer 3

Lets start with what do you think it is then? and why?

Answer 4

@tori72 Do you agree that the price of a book plus the sales tax on the book is shown by (b + 0.065b) in the given equation?

Answer 5

yea, i was thinking that it's choice B

Answer 6

@tori72 Do you also agree that the amount of the tax, shown as '0.065b = tax' in the given information, represents the 6.5% sales tax on a book?

Answer 7

yea

Answer 8

you still there?

Answer 9

Yes, I'm here.
Can you now see the meaning of the given equation and briefly explain it?
2(b + 0.065b) = 42.49

Answer 10

well if i distribute it i get 2b + 0.13 = 42.49 and solving for b gives me b = 21.18, so each book is 21.18

Answer 11

wait hold on

Answer 12

Correct. So you understand that the total cost of 2 books, including the sales tax on each of them, is $42.49.

Answer 13

isn't it b = 9.93?

Answer 14

Your equation 2b + 0.13 = 42.49 should be 2b + 0.13b = 42.49

Answer 15

yea so 42.49/2.13 = 19.95

Answer 16

Correct. But, once again, you appear to understand that the total cost of 2 books, including the sales tax on each of them, is $42.49. Is that correct?

Answer 17

yea

Answer 18

ok, i see it now, thanks!

Answer 19

So what is your choice of the problem now?

Answer 20

is it not b? a customer can buy 2 books if they have 42.49 and each book costs 21.18

Answer 21

or a

Answer 22

Option B says that the customer buys 2 of each book, meaning that if the customer buys only 2 books the books will be exactly the same title. Therefore to get 2 different books the customer would need to buy 4 books, 2 with the same title and 2 with another title.

Answer 23

So your choice of option A is correct.

Answer 24

thanks!

Answer 25

You're welcome :)