BTGModeratorVI wrote: ↑Fri Jun 05, 2020 11:43 am
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.
Answer:
A
Source: Official guide
Given: A certain ski shop sold 125 pairs of skis and 100 pairs of ski boots for a total of $75,000.
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
