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At a certain fruit stand, oranges cost $0.35 each and grapefruits cost
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22 Feb 2024, 15:10
22 Feb 2024, 15:10
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At a certain fruit stand, oranges cost $0.35 each and grapefruits cost $0.45 each. In a single transaction, Jean bought some oranges and some grapefruits. How many oranges did Jean buy in the transaction?
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
(2) Jean bought an equal number of oranges and grapefruits.
Screenshot 2024-02-22 at 2.04.00 PM.png [ 174.36 KiB | Viewed 2754 times ]
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
(2) Jean bought an equal number of oranges and grapefruits.
Attachment:
Screenshot 2024-02-22 at 2.04.00 PM.png [ 174.36 KiB | Viewed 2754 times ]
At a certain fruit stand, oranges cost $0.35 each and grapefruits cost
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22 Feb 2024, 15:22
22 Feb 2024, 15:22
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At a certain fruit stand, oranges cost $0.35 each and grapefruits cost $0.45 each. In a single transaction, Jean bought some oranges and some grapefruits. How many oranges did Jean buy in the transaction?
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
This implies that
Since both "o" (oranges) and "g" (grapefruits) must be positive integers, this equation has only one set of values that satisfy it: o = 2 and g = 2. Sufficient.
(2) Jean bought an equal number of oranges and grapefruits.
This is clearly insufficient.
Answer: A.
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
This implies that
- 35o + 45g = 160
7o + 9g = 32
Since both "o" (oranges) and "g" (grapefruits) must be positive integers, this equation has only one set of values that satisfy it: o = 2 and g = 2. Sufficient.
(2) Jean bought an equal number of oranges and grapefruits.
This is clearly insufficient.
Answer: A.
Re: At a certain fruit stand, oranges cost $0.35 each and grapefruits cost
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22 Feb 2024, 22:26
22 Feb 2024, 22:26
@najanapatGiven: At a certain fruit stand, oranges cost $0.35 each and grapefruits cost $0.45 each. In a single transaction, Jean bought some oranges and some grapefruits.
Asked: How many oranges did Jean buy in the transaction?
Let the number of oranges and grapefruits be o & g respectively
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
.35o + .45g = 1.6
(o, g) = (2,2) since o & g are integers
SUFFICIENT
(2) Jean bought an equal number of oranges and grapefruits.
o=g
The information is not sufficient since absolute value of total purchase is not provided
NOT SUFFICIENT
IMO A
Asked: How many oranges did Jean buy in the transaction?
Let the number of oranges and grapefruits be o & g respectively
(1) Jean spent a total of $1.60 for the oranges and grapefruits at the stand.
.35o + .45g = 1.6
(o, g) = (2,2) since o & g are integers
SUFFICIENT
(2) Jean bought an equal number of oranges and grapefruits.
o=g
The information is not sufficient since absolute value of total purchase is not provided
NOT SUFFICIENT
IMO A
