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Bunuel
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In Net's hair salon 42% of the customers dye their hair blond, 36% dye 07 Jun 2023, 01:30
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B
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35% (medium)

Question Stats:

73% (02:18) correct 27% (02:56) wrong based on 199 sessions

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In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%




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B
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In Net's hair salon 42% of the customers dye their hair blond, 36% dye 07 Jun 2023, 10:56
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let total be 100
total = A+ B+C-(sum of exactly 2 - group overlaps) - 2 * ( all three) + neither

100 = 42+36+35-(exactly 2)- 24+20
solve
exactly 2 will be 9%
option B


Bunuel
In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%




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In Net's hair salon 42% of the customers dye their hair blond, 36% dye 08 Jun 2023, 09:26
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Bunuel
In Net's hair salon 42% of the customers dye their hair blond, 36% dye their eyebrows blond and 35% straighten their hair. 20% of the customers have none of these three procedures, while 12% take all of these three procedures. What percent of the customers come for exactly 2 of these 3 procedures?

A 5%
B 9%
C 12%
D 15%
E 21%
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To solve this problem, we can use one of the 3-overlapping-sets formulas:

Total # of Unique Elements = # in (Group A) + # in (Group B) + # in (Group C) - # in (Groups of Exactly Two) – 2[# in (Group of Exactly Three)] + # in (Neither)

Although the problem gives us proportions rather than numbers of elements, we can still use the formula above.

Total # of Unique Elements = 100

# in (Group A) + # in (Group B) + # in (Group C) = 42 + 36 + 35 = 113

# in (Groups of Exactly Two) = ?

# in (Group of Exactly Three) = 12

# in (Neither) = 20

100 = 113 – # in (Groups of Exactly Two) - 2 × 12 + 20

# in (Groups of Exactly Two) = 9

Therefore, 9% of the customers come for exactly two of the three procedures.

Answer: B
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In Net's hair salon 42% of the customers dye their hair blond, 36% dye 11 Jun 2024, 21:57
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What is the rule of using the original formula of A+B+C- (AB+BC+AC)+ (All three common). What this new formula makes the difference, the formula of A+B+C-(AB+BC+AC)- 2(All common)??
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