Question

A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the number of adults. The number of female students was half the number of male students. If the total number of people who went on the trip is 82, find the numbers of male students and female students.

The number of male students is...

A. 36
B. 50
C. 70

The number of female students is...

D. 18
E. 25
F. 35

Answer 1

Let the number of adults be x, then number of male students is 1 + 7x and the number of female students is (1 + 7x)/2.
x + 1 + 7x + (1 + 7x)/2 = 82
2x + 2 + 14x + 1 + 7x = 164
23x = 164 - 2 - 1 = 161
x = 161/23 = 7

Therefore, number of male students is 1 + 7(7) = 1 + 49 = 50
and the number of female students is 50/2 = 25.