3. an exclusive clothing boutique triples the price of the items it purchases
for resale.
a. what is the boutique's markup percent? .
b. write two expressions that represent the retail price of the clothes.

a) MARKUP PERCENT = 200%

b) If the cost price of clothing A  = $10

    then its retail price  = $30

    If the cost price of clothing B   = $25

   then its retail price  = $75

Step-by-step explanation:

Let us assume the original price for the clothing = a

Now,  boutique triples the price of the items it purchases for resale.

So, the resale value of the item of clothing = 3 times (Original price) = 3 a

So, here: The resale Value  = 3 a

a)  MARK UP Percentage =

or, the MARKUP PERCENT = 200%

b) Two expressions that represent retail price

If the cost price of clothing A  = $10

then its retail price  = 200% of 10 +  10  = 20 + 10 = $30

If the cost price of clothing B   = $25

then its retail price  = 200% of 25 +  25  = 50 + 25 = $75

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .