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The price of an item is greater than $90 and less than $150.
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10 Jun 2018, 05:17
10 Jun 2018, 05:17
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Question Stats:
57% (01:32) correct
42% (01:19) wrong based on 227 sessions
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The price of an item is greater than $90 and less than $150.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The price of the item after a 10%-off discount and then a $20-off discount |
The price of the item after a $10-off discount and then a 20%-off discount |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The price of an item is greater than $90 and less than $150.
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14 Jul 2018, 04:45
14 Jul 2018, 04:45
1
Expert Reply
Explanation
Reducing a number by a percent involves multiplication; reducing a number by a fixed amount involves subtraction. The order of operations (PEMDAS) will make a difference.
One possible value for the item is $100. In this case, the value of Quantity A = ($100)(0.9) – $20 = $70. The value of Quantity B = ($100 – $10)(0.80) = $72. Here, Quantity B is greater.
However, a greater starting value may change the result, because a 20% discount off a greater starting value can result in a much greater decrease. For a $140 item, the value of Quantity A = ($140)(0.9) – $20 = $106. The value of Quantity B = ($140 – $10)(0.80) = $104.
Here, Quantity A is greater. The relationship cannot be determined from the information given.
Reducing a number by a percent involves multiplication; reducing a number by a fixed amount involves subtraction. The order of operations (PEMDAS) will make a difference.
One possible value for the item is $100. In this case, the value of Quantity A = ($100)(0.9) – $20 = $70. The value of Quantity B = ($100 – $10)(0.80) = $72. Here, Quantity B is greater.
However, a greater starting value may change the result, because a 20% discount off a greater starting value can result in a much greater decrease. For a $140 item, the value of Quantity A = ($140)(0.9) – $20 = $106. The value of Quantity B = ($140 – $10)(0.80) = $104.
Here, Quantity A is greater. The relationship cannot be determined from the information given.
Re: The price of an item is greater than $90 and less than $150.
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01 May 2020, 04:40
01 May 2020, 04:40
2
For this, I chose the extremes of $91 and $149. Not pretty, but makes me feel secure in my logic.
Starting with $91:
Quantity A: 10% pride reduction = $81.90, followed by $20 off, leaves you with $61.9
Quantity B: $10 off = $81, followed by 20% reduction, leaves you with $64.8
Quantity B is greater
Then, using $149:
Quantity A: 10% price reduction = $134.1, followed by $20 off leaves you with $114.10
Quantity B: $10 off = $139, followed by 20% reduction, leaving you with $112.20
Here, Quantity A is greater.
Since we have two different answers, we don't have enough information to come to a definitive conclusion. Answer is D.
Starting with $91:
Quantity A: 10% pride reduction = $81.90, followed by $20 off, leaves you with $61.9
Quantity B: $10 off = $81, followed by 20% reduction, leaves you with $64.8
Quantity B is greater
Then, using $149:
Quantity A: 10% price reduction = $134.1, followed by $20 off leaves you with $114.10
Quantity B: $10 off = $139, followed by 20% reduction, leaving you with $112.20
Here, Quantity A is greater.
Since we have two different answers, we don't have enough information to come to a definitive conclusion. Answer is D.
