Problema Solution
One-fourth of a group of people claim they are creative. Twice the square root of the group claim to be caring and the remaining 15 claim they are optimistic. Find the total number of people in the group.
How many persons in the group are creative?
Answer provided by our tutors
let x be the total number of persons in the group
creative: (1/4)x
caring: 2*(x^0.5)
optimistic: 15
(1/4)x + 2*(x^0.5) + 15 = x
2*(x^0.5) = (3/4)x - 15
x = ((1/2)((3/4)x - 15))^2
by solving we find
x = 36 people
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the total number of people in the group is 36.
(1/4)36 = 9
9 people are creative.