The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jamie buys a hardcover fiction book that is priced $32. 99. How much will Jamie save by buying the book on sale and using the coupon? a. $10. 56 b. $11. 55 c. $13. 20 d. $19. 79 Please select the best answer from the choices provided A B C D.

Respuesta :

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55


How are discounts calculated for the case when its sale and we've got discount coupons too?

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Using the above fact to calculate the amount that Jamie saved

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = [tex]\dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55[/tex]

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

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