GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The corner store sells yams and plantains by the pound. A
[#permalink]
27 May 2018, 12:24
27 May 2018, 12:24
Expert Reply
4
Bookmarks
00:00
Question Stats:
70% (01:30) correct
29% (02:16) wrong based on 84 sessions
Hide Show timer Statistics
The corner store sells yams and plantains by the pound. A pound of plantains cost $0.30 less than twice the cost of a pound of yams.
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 |
The cost of two pounds of yams and two pounds of plantains |
The cost of three pounds of plantains |
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: The corner store sells yams and plantains by the pound. A
[#permalink]
27 May 2018, 13:18
27 May 2018, 13:18
2
Expert Reply
Explanation
Represent the cost per pound of the vegetables by their first letters.
The given information translates to p = 2y – 0.30 because “twice” means multiply by two and “less” indicates subtraction. Then, translate the quantities into algebraic expressions:
Quantity A = 2y + 2p
Quantity B = 3p
Since 2p is common to both quantities, it can be subtracted without changing their relative values:
Quantity A = 2y
Quantity B = p
Since p = 2y – 0.30, Quantity B is 0.30 less than Quantity A.
Hence option A is correct!
Represent the cost per pound of the vegetables by their first letters.
The given information translates to p = 2y – 0.30 because “twice” means multiply by two and “less” indicates subtraction. Then, translate the quantities into algebraic expressions:
Quantity A = 2y + 2p
Quantity B = 3p
Since 2p is common to both quantities, it can be subtracted without changing their relative values:
Quantity A = 2y
Quantity B = p
Since p = 2y – 0.30, Quantity B is 0.30 less than Quantity A.
Hence option A is correct!
Re: The corner store sells yams and plantains by the pound. A
[#permalink]
20 Jun 2023, 10:18
20 Jun 2023, 10:18
Translate the stem:
Let p=price of plantains, y=price of yam
p=2y-30
QA:
2 lbs of Plantains and 2 lbs of Yam can be expressed as:
2p+2y
Substituting the stem equation:
2(2y-30)+2y
6y-60
QB:
3 lbs of plantains will cost 3p
3(2y-30)=6y-90
As y will be some non-negative quantity (prices cannot be negative), 6y-60 is always larger than 6y-90.
QA>QB, always
A
Let p=price of plantains, y=price of yam
p=2y-30
QA:
2 lbs of Plantains and 2 lbs of Yam can be expressed as:
2p+2y
Substituting the stem equation:
2(2y-30)+2y
6y-60
QB:
3 lbs of plantains will cost 3p
3(2y-30)=6y-90
As y will be some non-negative quantity (prices cannot be negative), 6y-60 is always larger than 6y-90.
QA>QB, always
A
