An electrical store sells 32 different lawnmowers. Every lawnmower sold is either safe or easy-to-handle or both. 17 lawnmowers are safe, and 9 lawnmowers are both safe and easy-to-handle. How many of the lawnmowers sold in the store are easy-to-handle but not safe?
A. 8
B. 15
C. 16
D. 23
E. 24
The OA is B.
Source: Economist GMAT
An electrical supplies store sells 32 different lawnmowers.
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- bubbliiiiiiii
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n(AUB) = n(A) + n(B) - n(AnB)
32 = 17 + x - 9 => x = 24
n(b) only = n(b) - n(anb) = 15
32 = 17 + x - 9 => x = 24
n(b) only = n(b) - n(anb) = 15
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- Scott@TargetTestPrep
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We can use the formula:swerve wrote:An electrical store sells 32 different lawnmowers. Every lawnmower sold is either safe or easy-to-handle or both. 17 lawnmowers are safe, and 9 lawnmowers are both safe and easy-to-handle. How many of the lawnmowers sold in the store are easy-to-handle but not safe?
A. 8
B. 15
C. 16
D. 23
E. 24
Total = Safe + Easy-to-handle - Both
32 = 17 + E - 9
32 = 8 + E
24 = E
Since 24 lawnmowers sold in the store are easy-to-handle and 9 of them are both, 15 of them are easy-to-handle but not safe.
Answer: B
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