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An electrical supplies store sells 32 different lawnmowers.

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by swerve » Wed Aug 15, 2018 10:02 am
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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.

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by bubbliiiiiiii » Wed Aug 15, 2018 12:13 pm
n(AUB) = n(A) + n(B) - n(AnB)

32 = 17 + x - 9 => x = 24

n(b) only = n(b) - n(anb) = 15
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by Scott@TargetTestPrep » Sun Aug 26, 2018 5:55 pm
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
We can use the formula:

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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