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2 votes
James buys a shirt and a pair of socks on sale for 20% off. If the price of the shirt

before the sale was $26 and he spent a total of $26, what was the original price of
the socks? Round to the nearest hundredth, if necessary.

User Rpadovani
by
7.6k points

1 Answer

13 votes

Answer:

The Price of socks is

=

$

8

Explanation:

Given -

Discount 25%

Price of shirt before discount

=

$

24

Amount spent on both shirt and socks after applying discount

=

$

24

Assume the price of socks

=

$

x

Then Shirt + Socks before discount =

$

(

24

+

x

)

After discount one has to pay 75% of the article.

Then -

75

100

(

24

+

x

)

=

24

0.75

(

24

+

x

)

=

24

18

+

0.75

x

=

24

0.75

x

=

24

18

=

6

x

=

6

0.75

=

8

The Price of socks is

=

$

8

How to verify your answer -

One way

Price of shirt =$24

Price of socks =$8

Total =$32

Discount =25%

Discount for $32 is

32

×

25

100

=

$

8

Amount one has to pay after discount

=

32

8

=

$

24

Another way is -

Discount 25%

It means after discount it is enough if he pays 75% of the price.

In our case - Actual price is

=

$

32

75% of $32 is

=

32

×

75

100

=

2

Explanation:

User Swordslayer
by
7.5k points

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