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Last Monday a certain store sold 17 wrenches at x dollars each. Last T

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Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 25 May 2018, 04:16
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Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x

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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 25 May 2018, 05:52
So the store sold 25 wrenches for 21x dollars ( 17x + 8 * 1/2 x). So the mean price is 21/25 = 0.84
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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 25 May 2018, 07:17
Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x

\(\frac{17*x + 0.50x*8}{25} = 0.84x\), Answer must be (E)
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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 26 May 2018, 14:36
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Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x


Let x =10

Monday sales = 170

Tuesday sales = 40

Total = 210

Average price = total / number of wrenches = 210/25 ...........multiply by 4/4 to make the denominator 100

Average price = 840/100 = 8.4

It is obvious from answer choices

Answer: E
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Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 26 May 2018, 21:28
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

Last Monday: Total sales in dollars = 17x
Last Tuesday: Total sales in dollars = 8*0.5x = 4x
Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{21x}{25}\) multiply numerator and denominator by 4 we get \(\frac{84x}{100}\) = 0.84x

Correct answer is option E
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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 26 May 2018, 21:35
CAMANISHPARMAR wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

Last Monday: Total sales in dollars = 17x
Last Tuesday: Total sales in dollars = 8*0.5x = 4x
Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{21x}{25}\) multiply numerator and denominator by 4 we get \(\frac{84x}{100}\) = 0.84x

Correct answer is option E


One could solve this question by picking a smart number. Always check which smart number will be useful for a particular question. Here the options are two decimals times x. Hence assuming x equal to 100 will help us infer the correct option.

Since x = 100;
Last Monday: Total sales @ $100 each in dollars = 1700 [17 * 100]
Last Tuesday: Total sales 50% of $100 i.e. @ $50 each in dollars = 400 [8 * 50]

Total sales is 2100

Arithmetic mean = \(\frac{{Total Sales in Dollars}}{{Total sales in units}}\)
Arithmetic mean = \(\frac{2100}{25}\) = $84 or 0.84x

Correct answer is option E
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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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New post 29 May 2018, 09:16
Bunuel wrote:
Last Monday a certain store sold 17 wrenches at x dollars each. Last Tuesday the store reduced its prices and sold an additional 8 wrenches at 0.5x dollars each. Which of the following is equal to the average (arithmetic mean) price, in dollars, of the 25 wrenches that the store sold last Monday and Tuesday?

A. 0.68x
B. 0.73x
C. 0.76x
D. 0.81x
E. 0.84x


The average is:

(17x + 8(0.5x))/25 = 21x/25 = 84x/100 = 0.84x

Answer: E
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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T  [#permalink]

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Re: Last Monday a certain store sold 17 wrenches at x dollars each. Last T   [#permalink] 27 Nov 2019, 05:54
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