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Y_Kistochka [10]
3 years ago
11

Five sisters bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sist

ers was $125.00, what was the price of one pair of socks.
Mathematics
2 answers:
Korolek [52]3 years ago
8 0
The answer is $6.50                        
lubasha [3.4K]3 years ago
5 0
Answer: $6.50

Justification:

Work backward step by step.

1) Total bill: $125 given

2) Value of five scarves: multiply the number of scarves time the unit price

 5 * $12.00 = $ 60.00

3) Value of the socks: subtract the value of the scarves from the total bill

$ 125 - $ 60 = $65

4) divide $65 by the total number of pair of socks

If each bought two pairs, the total number of pairs is 5 * 2 = 10

So, the price of one pair is $65 / 10 = $6.50

Now,  you can verify:

- two pairs of socks each sister * 5 sisters = 10 pairs

- 10 pairs of socks at $6.50 each = 10*$6.50 = $ 65

- Five scarves at $ 12 each = 5 * $12 = $ 60

- Total bill = $ 65 + $ 60 = $ 125 => check.
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Consider the completer question is "Find the derivative \dfrac{dy}{dx} for y=\dfrac{x^2-4x}{x^3-5}."

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Quotient rule: \dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}

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\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)

Using chain rule and quotient rule, we get

\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}

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Read 2 more answers
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