Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?
(1) She spent more than $6 on buying oranges
(2) She spent less than $10 on buying oranges
OA A
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Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange
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BTGmoderatorDC
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Let the number of apples be A and the number of oranges be O
We know that A>0 and O>0 and since we cannot purchase fractions of fruit we can safely assume that both are A and O are integers
Total amount spent = $10
Cost of each apple = $2
Cost of each orange = $1
The question stem translates to 2A+O=10
(1) Given that O=6
Substituting it in the above equation we get
2A+6=10
2A=4
A=2
(1) is sufficient
(2) O<10
O can be anything 8,6,4
Substituting O =8
2A+8=10
A=1
Substituting O=6
2A+6=10
A=2
.
.
.
Hence we get different values of A for different values of O
(2) Insufficient
Hence Statement (1) is alone sufficient
We know that A>0 and O>0 and since we cannot purchase fractions of fruit we can safely assume that both are A and O are integers
Total amount spent = $10
Cost of each apple = $2
Cost of each orange = $1
The question stem translates to 2A+O=10
(1) Given that O=6
Substituting it in the above equation we get
2A+6=10
2A=4
A=2
(1) is sufficient
(2) O<10
O can be anything 8,6,4
Substituting O =8
2A+8=10
A=1
Substituting O=6
2A+6=10
A=2
.
.
.
Hence we get different values of A for different values of O
(2) Insufficient
Hence Statement (1) is alone sufficient
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Brent@GMATPrepNow
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Target question: How many apples did Joan buy?BTGmoderatorDC wrote: ↑Fri Aug 21, 2020 5:57 pmJoan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1. How many apples did she buy?
(1) She spent more than $6 on buying oranges
(2) She spent less than $10 on buying oranges
OA A
Source: e-GMAT
Given: Joan spent $10 to buy at least one piece each of apples and oranges at a store where each apple cost $2 and each orange cost $1.
Since there are only a handful of possible outcomes, we might benefit from quickly listing them:
i) Joan buys 1 apple (for $2) and 8 oranges (for $8)
ii) Joan buys 2 apples (for $4) and 6 oranges (for $6)
iii) Joan buys 3 apples (for $6) and 4 oranges (for $4)
iv) Joan buys 4 apple (for $8) and 2 oranges (for $2)
Statement 1: She spent more than $6 on buying oranges
When we check our list of possible outcomes, we see that only one outcome (case i) satisfies statement 1.
So, it MUST be the case that Joan bought 4 apples
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: She spent less than $10 on buying oranges
When we check our list of possible outcomes, we see that ALL 4 outcomes satisfy statement 2.
So, it's possible that Joan bought 1 apple, 2 apples, 3 apples OR 4 apples
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
