Question

Question 29: In a club of 35 boys and 28 girls, 80% of the boys and 25% of the girls have been members for more than 2 years. If n percent of the club have been members for more than 2 years, what is the value of n? Express your answer as a mixed number.

Answer 1

`55(5)/(9)` %

Explanation:

First we find the number of boys that have been members for more than two years:

B = 80% of 35 = 0.8 * 35 = 28 boys

Then, we find the number of girls that have been members for more than two years:

G = 25% of 28 = 0.25 * 28 = 7 girls

So, the total number of people that have been members for more than two years is:

T = B + G = 28 + 7 = 35

The total number of people in the club is:

Total = 35 + 28 = 63 people

So the percentage of people that have been members for more than two years is:

P = (T/Total)*100% = 3500/63 % =
`55(35)/(63)` % =
`55(5)/(9)` %

Answer 2

55%

Explanation:

What we must do is get the total number of people, that is, boys and girls who have been a member for more than 2 years, that is:

children: 0.8 * 35 = 28

girls = 0.25 * 28 = 7

Now, passing knowing the%, would be dividing the sum of the above by the sum of the total club members:

(28 +7) / (35 + 28) = 0.55

Since it is a number below 1, it cannot be a mixed number.