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dexar [7]
4 years ago
10

A clothing store is having a sale on holiday socks. Each pair of socks costs x dollars. You leave the store with 6 pairs of sock

s and spend a total of (6x-14) dollars. You pay with $40. How much change do you receive?
Mathematics
1 answer:
ss7ja [257]4 years ago
6 0

Answer: $ 14

Step-by-step explanation:

Since, the cost of 1 pair of socks = x

The cost of 6 pair of socks = 6 x

Total amount spend = $ 40

According to the question,

6 x - 14 = 40

6 x = 40 + 14

6 x  = 54

x = 9

Thus, the original price of one pair of socks = $ 9

⇒ The original price of 6 pairs of socks = $ 54

Hence, the total change = original price of socks - the price of socks in the sale = 54 - 40 =  $ 14

msullivan021
2 years ago
I don't think the question said 6x-14 = 40. It said you pay with $40, and the question said how much change did you get, implying that the answer is not necessarily 0.
msullivan021
2 years ago
the total spent is not $40
msullivan021
2 years ago
Also, the discount is not necessarily uniform. It could be that red socks are 10% off, but blue socks are 15% off, so you don't know the original price is $9, you just know that the total discount accumulated is $14.
msullivan021
2 years ago
If you google the full equation to solve for c, which is c=40-(6x-14), it simplifies to −6(𝑥−9)
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