Jade buys a blouse and a skirt for 3/4 of their original price. jade pays a total of $31.50 for the two items. what is the original price of the skirt?

Answers

Total amount = 31.50×4/3

= 42$

original price of skirt = total - price of blous = 42-18 = 24$

I think 13.59$fir the skirt

The skirt was originally 24 dollars

Step-by-step explanation:

3/4 ( b+s) = 31.50  

where b is the original price of the blouse and s is the original price of the skirt

b = 18

3/4 ( 18+s) = 31.50  

Multiply each side by 4/3

4/3 * 3/4 ( 18+s) = 31.50  *4/3

18+s =42

Subtract 18 from each side

18+s-18 = 42-18

s =24

The skirt was originally 24 dollars

The answer to this question is x = 24

3/4 times 18= 13.5
31.5-13.5=18 
It cost 18 dollars for the skirt with a discount.
It cost 13.5 for the blouse as opposed to the original price of 18 dollars.
18(skirt)+13.5(blouse)=31.5
If you set up a proportion to find the original price of the skirt you will get the answer. 
18/x=75/100
75x=18 times 100
75x=1800
75x/75=1800/75
x=24 
The original price of the skirt is 24 dollars.

The original price of the skirt is $24

Step-by-step explanation:

The complete question is

Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?

Let

x ----> the original price of the blouse

y ---> the original price of the skirt

we know that

Three fourth of the sum of the original price of the blouse and the original price of the skirt, must be equal to the total paid for the two items

so

The linear equation that represent this situation is

\frac{3}{4}(x+y)=31.50

we have

x=18 ----> given problem

substitute the value of x in the expression above and solve for y

\frac{3}{4}(18+y)=31.50\\

Multiply by 4 both sides

3(18+y)=4(31.50)\\54+3y=126\\3y=126-54\\3y=72\\y=24

therefore

The original price of the skirt is $24



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