lheiannie07 wrote: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
Which of the statements is the correct answer?Why can't the both statements be the right Option?
OA A
Statement 1: She spent more than $6 on buying oranges
=> She spent 7, 8, or 9 dollars on buying oranges. Excluded $10 as then we would not have any money to buy an apple.
Case 1: She spent $7 on buying oranges.
=> She spent $3 on buying apples. But this is not possible since in $3 she can only buy one apple and $1 would be left. Not a possible case.
Case 2: She spent $8 on buying oranges.
=> She spent $2 on buying an apple. A possible case.
Case 1: She spent $9 on buying oranges.
=> She spent $1 on buying apples. But this is not possible since in $1 she cannot buy at least one apple. Not a possible case.
Thus, she bought one apple. Sufficient.
Statement 2: She spent less than $10 on buying oranges
Case 1: She spent $8 on buying oranges.
=> She spent $2 on buying an apple. She bought one apple.
Case 2: She spent $6 on buying oranges.
=> She spent $4 on buying apples. She bought two apples.
No unique answer. Insufficient.
The correct answer:
A
Hope this helps!
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