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.

Question

Macdonald

Mathematics

1 August, 22:45

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.

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Deborah · Answer 1

X number of male students

Y number of female students

Z number of the adults

X = (1 + 7) Z=8Z

Y = X/2

X + Y + Z = 82

8Z + 8Z/2 + Z=82 implies Z=82/26=3.1

so we take Z = 3

X = 24

and Y = 12