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Kendra is more than 5 years old.
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27 May 2018, 12:14
27 May 2018, 12:14
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Question Stats:
78% (01:09) correct
21% (00:58) wrong based on 107 sessions
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Kendra is more than 5 years old.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Five years less than twice Kendra’s age |
Twice what Kendra’s age was five years ago |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: Kendra is more than 5 years old.
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27 May 2018, 12:48
27 May 2018, 12:48
Expert Reply
Explanation
This is an algebraic translation, meaning you need to translate the text into algebra. Use k to represent Kendra’s age, and the problem states that k > 5 (this is important only because Quantity B requires you to consider Kendra’s age five years ago, and if she were younger than 5 years old, that would create an impossible negative age!).
Quantity A = 2k – 5
Quantity B = 2(k – 5) = 2k – 10
Since 2k is common to both quantities it can be subtracted from both without affecting their relative values.
Quantity A = –5 Quantity B = –10
Quantity A is less negative, so it is greater.
This is an algebraic translation, meaning you need to translate the text into algebra. Use k to represent Kendra’s age, and the problem states that k > 5 (this is important only because Quantity B requires you to consider Kendra’s age five years ago, and if she were younger than 5 years old, that would create an impossible negative age!).
Quantity A = 2k – 5
Quantity B = 2(k – 5) = 2k – 10
Since 2k is common to both quantities it can be subtracted from both without affecting their relative values.
Quantity A = –5 Quantity B = –10
Quantity A is less negative, so it is greater.
Re: Kendra is more than 5 years old.
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27 May 2018, 12:51
27 May 2018, 12:51
Eliminating technique is quite good.
Thanks.
Thanks.
