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Dana buys dress shirts from a clothing manufacturer for s dollars each, and then sells the dress in her retail clothing store at a 35% markup

a. Write the markup as a decimal

b. write an expression for the retail price

c. What is the retail price of a dress shirt that Dana purchased for 32.00

d. How much was added to the original price of the dress shirt?

Respuesta :

orccrusher99
To convert a percent to decimal:
[tex]\frac{\text{Percentage\ number}}{100} = \text{Decimal\ number}[/tex]
[tex]35\%=\frac{35}{100} = .35[/tex]

35% markup means that the price increases by 35% from its original price, therefore:
Retail price[tex]= s+.35*s[/tex]
[tex]R = 1.35s[/tex]

Substitute in 32 for [tex]s[/tex]
[tex]R = 1.35(\$32)[/tex]
[tex]R = \$43.2[/tex]

Either do [tex].35s[/tex] or [tex]R-s[/tex], since they are equal and both give the answer
[tex].35s = .35(32)[/tex]
Markup (what was added to the original price) = [tex]\$11.2[/tex]
a. Because percents are the ratios of a given number to 100, you would divide 35 by 100, getting you a decimal of 0.35.

b. Now to get the total price. Because you are making it an ADDitional 35%, you would first say you have 100% of the original price, plus the extra 35%, getting a total of 135% the original. When divide by 100 the decimal form would be 1.35, which can then be plugged into an equation.

1.35s = retail price

c. Now that you have the equation, you just plug the given s value in. 

1.35(32.00) = $43.20

d.  You can now take the final price, and subtract the initial from it to find the change.

$43.20 - $32.00 = $11.20 added to the price

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