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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.

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MrGumby
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.

Answer:

The original price of the skirt is $24

Step-by-step 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,

[tex]\frac{3}{4}(x+y)=31.50[/tex]  ..... (1)

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

Putting x=18 in equation (1)

[tex]\frac{3}{4}(18+y)=31.50[/tex]

[tex]3(18+y)=31.50*4[/tex]

[tex]3y+54=126[/tex]

[tex]3y=72[/tex]

y=24

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

Check:

Original price of both items = [tex]18+24=42[/tex]

And 3/4 of 42 is [tex]\frac{3}{4}*42= 31.50[/tex]

So, the correct answer is $24.

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