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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:33) correct
27%
(01:34)
wrong
based on 64
sessions
History
Date
Time
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Not Attempted Yet
The arithmetic average cost of the three items that Emma purchased from a grocery store is $25. No sales tax was charged on any item that cost less than $40. A sales tax of 8 percent was charged on any item that cost $40 or more. What is the sales tax on the three items that Emma purchased?
(1) The most costly item that Emma purchased was $50.
(2) The least costly item that Emma purchased was $5.
(1) The most costly item that Emma purchased was $50.
(2) The least costly item that Emma purchased was $5.
total cost is 3 * 25 = $75
Can three items be ≥ $40? No, 3 * 40 = 120, which is > 75
.
Can two items be ≥ $40? No, 40 + 40 = 80, which is > 75.
Therefore, one item can cost $40 or more.
The total tax is either $0 (if no item is ≥ $40) or 8% of the price
Thus,
Statement (1). The most costly item that Emma purchased was $50 : Sufficient
Statement (2) The least costly item that Emma purchased was $5 :
Let the prices be $5, y, and z.
5 + y + z = 75.
y + z = 70.
Case 1 (Zero Taxable Items): If y = 39 (<40 thus untaxable), z will be 31
Case 2 (One taxable Item) : If y = 40 (>=40 thus taxable), z will be 30.
Insufficient
IMO A
Can three items be ≥ $40? No, 3 * 40 = 120, which is > 75
.
Can two items be ≥ $40? No, 40 + 40 = 80, which is > 75.
Therefore, one item can cost $40 or more.
The total tax is either $0 (if no item is ≥ $40) or 8% of the price
Thus,
Statement (1). The most costly item that Emma purchased was $50 : Sufficient
Statement (2) The least costly item that Emma purchased was $5 :
Let the prices be $5, y, and z.
5 + y + z = 75.
y + z = 70.
Case 1 (Zero Taxable Items): If y = 39 (<40 thus untaxable), z will be 31
Case 2 (One taxable Item) : If y = 40 (>=40 thus taxable), z will be 30.
Insufficient
IMO A
