sparkles3144 wrote:What is the length in meters of a certain rectangular garden?
(1) The length of the garden is 6 meters more than twice the width.
(2) The length of the garden is 4 times the width
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Let L = length of garden
Let W = width of garden
Target question:
What is the value of L?
Statement 1: The length of the garden is 6 meters more than twice the width.
In other words, L = 2W + 6
Since this equation does not provide sufficient information to find
the value of L, statement 1 is NOT SUFFICIENT
Statement 2: The length of the garden is 4 times the width
In other words, L = 4W
Since this equation does not provide sufficient information to find
the value of L, statement 2 is NOT SUFFICIENT
Statements 1 and 2 combined:
We now know that:
L = 2W + 6
L = 4W
Since both equations equal L, we can write: 2W + 6 = 4W
Rearrange: 6 = 2W
Solve: 3 = W
If W = 3, then
L = 12
Since we can now answer the
target question with certainty, the combined statements are SUFFICIENT
Answer =
C
Cheers,
Brent
