Question

Jade buys a blouse and a skirt for 34 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? Enter your answer in the box.

Answer 1

The original price of the skirt is $24

Explanation:

The question must be 3/4 of their original price. So, I will solve this using 3/4 as 34 is unclear and does not suit the question.

Lets assume that the price of the blouse be = x

Lets say the price of the skirt is = y

Now, given is that 3/4 of the price together for both items is $31.5 0

This means,

`(3)/(4)(x+y)=31.50` ..... (1)

The original price of the blouse is $18 so, x= 18 .............(2)

Putting x=18 in equation (1)

`(3)/(4)(18+y)=31.50`

`3(18+y)=31.50*4`

`3y+54=126`

`3y=72`

y=24

Hence, the original price of the skirt is = $24.

Check:

Original price of both items =
`18+24=42`

And 3/4 of 42 is
`(3)/(4)*42= 31.50`

So, the correct answer is $24.

Answer 2

The original cost of the skirt was $39.71.

This can be found by first calculating what the total cost of the items was originally. Since you spent $31.50 on items at 34% of their original price, the total cost can be found by dividing the new total by the percentage.

$31.50/.34 = $92.65.

Now we need to find the original price of the blouse. We repeat the same action with the $18 and the percentage.

$18/.34 = $52.94.

Now we can subtract the original cost of the blouse from the original cost of both items.

$92.65-$52.94 = $31.71.