Question

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?

Answer 1

The original price of the skirt is $24

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

`(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

`(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