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06 Apr 2016, 01:42
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B
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Difficulty:
35%
(medium)
Question Stats:
75% (02:27) correct
25%
(02:47)
wrong
based on 564
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At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 48 males did not bring gifts to the party, how many females did bring gifts?
A. 18
B. 28
C. 42
D. 68
E. 70
A. 18
B. 28
C. 42
D. 68
E. 70
06 Apr 2016, 02:12
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Bunuel
At a particular graduation party with 300 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 48 males did not bring gifts to the party, how many females did bring gifts?
A. 18
B. 28
C. 42
D. 68
E. 70
A. 18
B. 28
C. 42
D. 68
E. 70
Hi,
the correct method
total = 300..
70% of 300 = 210 got gifts..
90 did not get gift, out of which 48 are males, so remaining 90-48=42 are females..
But 40% females brought gift, so 60% did not get it..
so 60% = 42, 100%= 42*100/60= 70..
ans 40% of 70 =28
B
answer took close to 1 minute..
But given the choices, it can be answered in 10 seconds..
we are looking for 40% of females..
since number of females has to be an integer, 40% of that integer has to be a multiple of 4..
ONLY 28 is multiple of 4 in given choices..
NOT that you will get this everytime BUT we should be ready to take advantage of opportunities thrown our way..
General Discussion
06 Apr 2016, 02:03
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Let total number of males = M
and total number of females = F
M+F = 300
=>M = 300 - F --- equation 1
(40/100)*F +(M - 48) = 210
=>(2/5)F + (M-48) = 210 --- equation 2
From 1 and 2 , we get
(2/5)F + (300 - F - 48) = 210
=> - (3/5)*F = 210 + 48 - 300 = -42
=> F = 70
Number of females who brought gifts = (2/5)*70 = 28
Answer B
and total number of females = F
M+F = 300
=>M = 300 - F --- equation 1
(40/100)*F +(M - 48) = 210
=>(2/5)F + (M-48) = 210 --- equation 2
From 1 and 2 , we get
(2/5)F + (300 - F - 48) = 210
=> - (3/5)*F = 210 + 48 - 300 = -42
=> F = 70
Number of females who brought gifts = (2/5)*70 = 28
Answer B
