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28 Apr 2020, 04:50
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A certain ski shop sold 125 pairs of skis and 100 pairs of ski boots for a total of $75,000. What was the average (arithmetic mean) selling price of a pair of the ski boots?
(1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
ID: 700286
DS40410.02
(1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
ID: 700286
DS40410.02
28 Apr 2020, 08:24
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parkhydel
A certain ski shop sold 125 pairs of skis and 100 pairs of ski boots for a total of $75,000. What was the average (arithmetic mean) selling price of a pair of the ski boots?
(1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
Given: A certain ski shop sold 125 pairs of skis and 100 pairs of ski boots for a total of $75,000. (1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
Let K = the COMBINED selling price of all 125 pairs of skis
Let B = the COMBINED selling price of all 100 pairs of ski boots
We can write: K + B = 75,000
Also, since B = the COMBINED price of all 100 pairs of ski boots, the average price per pair of boots = B/100
Target question: What is the value of B/100?
Statement 1: The average selling price of a pair of skis was $300
The ski shop sold a total of 125 pairs of skis, for a combined price of K dollars.
So we can write: K/125 = 300
Multiply both sides of the equation by 125 to get: K = 37,500
Since we already know that K + B = 75,000, we can substitute to get 37,500 + B = 75,000, which means B = 37,500, which means B/100 = 37,500/100 = 375
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: The selling price of a pair of ski boots varied from $150 to $900.
This is clearly not enough information to answer the target question with certainty
Statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
28 Aug 2021, 07:34
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parkhydel
A certain ski shop sold 125 pairs of skis and 100 pairs of ski boots for a total of $75,000. What was the average (arithmetic mean) selling price of a pair of the ski boots?
(1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
(1) The average selling price of a pair of skis was $300.
(2) The selling price of a pair of ski boots varied from $150 to $900.
Statement 1:
The total cost of pairs of skis was 125*300. Subtract that from 75k to get the total costs of pairs of ski boots. Divide that number by 100 to get the average price of pair of ski boots. Sufficient.
Statement 2:
This only gives us a range. Insufficient.
Ans: A
