You purchase a desk for 60% of the original price p. This price is $32 less than the original price. Write and solve an equation to find the original price of the desk.

Question

this a 8th grade question .

thanks for your help

Answer 1

Hi Nawaf E.

So

p - 32 is 60% of some original price p

0.6p = p - 32

Subtract p from both sides of the equation

0.6p - p = -32

-0.4p = -32

Divide both sides of the equation by -0.4

p = -32/-0.4

p = 80

You can check this in a percent discount equation

(Original Price - Discount Amount)x 100/(Original Price) = Percent

(80 - 32)x 100/80 = %

(48 x 100)/80 = %

4800/80 = 60 %

I hope you find this useful.

Answer 2

You purchase a desk for 60% of the original price p. This price is $32 less than the original price. Write and solve an equation to find the original price of the desk.

So the first part of the equation would be p - 32 ( The original price - 32 dollars)

The second part of the equation would be .60p ( 60% of the original price.

You will set these up to equal each other and solve for p (the original price)

p -32 = .60p

-p -p (subtract p from both sides)

-32 = -.40p (divide -32 by -.40)

80 = p The original price of the4 desk was $80