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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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25 May 2018, 04:16
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25% (medium)

Question Stats:

80% (01:39) correct 20% (02:27) wrong based on 60 sessions

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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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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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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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26 May 2018, 14:36
1
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

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

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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

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

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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

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

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

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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

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

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27 Nov 2019, 05:54
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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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