Distributive property you want to buy three books that are on sale at 20% off. The original prices of the books are $2.50, $4.95, andb$6.00. How much will you save?

Respuesta :

Answer:

The saving amount on selling of three books together after discount of 20% is $2.69

Step-by-step explanation:

Given as :

The original price of first book = $2.50

The original price of second book = $4.95

The original price of third book = $6.00

The total percentage discount on the book = d = 20%

Let The saving money after purchased of book = $x

And Let the selling price of the book = s.p = $y

Now, According to question

The total market price of three books = m.p = $2.50 + $4.95 + $6.00

I.e m.p = $13.45

Now, from discount formula

Discount % = [tex]\dfrac{market price - selling price}{market price}[/tex]

Or, d% = [tex]\dfrac{m.p - s.p}{m.p}[/tex]

Or, 20% = [tex]\dfrac{13.45 - y}{13.45}[/tex]

Or, [tex]\dfrac{20}{100}[/tex] = [tex]\dfrac{13.45 - y}{13.45}[/tex]

Or, 20 × 13.45 = (13.45 - y) × 100

Or, 269 = 1345 - 100 y

Or, 100 y = 1345 - 269

Or, 100 y = 1076

∴  y = [tex]\dfrac{1076}{100}[/tex]

i.e y = $10.76

So, The selling price of three books = y = $10.76

∴ The saving amount on selling of three books together after discount of 20% = x = Total market price - Selling price

i.e x = m.p - y

or, x = $13.45 - $10.76

or, x = $2.69

Hence ,The saving amount on selling of three books together after discount of 20% is $2.69  Answer