A total of 45 male and female students took a math test.

Question

A total of 45 male and female students took a math test. The male students have an average score of 65, and the female students have an average score of 70. If the overall average score for both male and female students is 67, how many male students participated in the test?

A. 27
B. 31
C. 33
D. 35
E. 37

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A. 27
B. 31
C. 33
D. 35
E. 37

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kb26 · Answer

Let the number of male students be M.

65 M + (45 - M) 70 = 67 x 45

Therefore M = 27. Ans should be A.

dhart · Answer

yes ,comes around 27

MakB · Answer

Let no. of Men be x
So no. of women = 45-x

Using formula, Average= sum/no.of observation
For men,
65 = SUM 1 / x ---> Sum1 = 65x
For Women,
70= Sum2 / 45-X ---> Sum 2 = 70(45-x)
For total 45 students,
67 = Sum total / 45 ---> Sum total = 67x45

Now,
Sum total = Sum 1 + sum 2
So,
67x45 = 65x + 70(45-x) = 65x + 70x45 - 70x
=> 67x45 - 70x45 = 65x-70x
=> x = 27
Hence, A

vasu1104 · Answer

say total male = x
female = 45-x

total score for x male = 65x
total score for female = 70 (45-x)

now total average for both = 67
65x + 70 (45-x)/ 45 = 67
65x + 3150-70x = 3015

x= 27

choice A

LucidGhost · Answer

M+F= 45 
F=45-M
Sum of Female scores = 70F 
Sum of Male scores = 65M

Overall Average = 67 
Sum of F+Sum of M = 67(M+F)
70F+65M= 67(45) 
70(45-M)+65M = 3015 
3150 -70M+65M = 3015 
5M= 135
M= 27

A

adconsectetur · Answer

65 ---- 67 ----70

2 -------3

ratio is 3/5 of 45 = 27.

2/5 of 45 = 18

alligation mixture.

A total of 45 male and female students took a math test.

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A total of 45 male and female students took a math test.

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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