一題百分數題

2007-01-21 6:24 am
In a certain year,31500 candidates met the minimum requirement of entering Form 6.It was 35% of the total number of candidates.

(a) (i) Find the total number of candidates.
(ii) It is known that the percentage of female candidates is 8% more than that of male candidates.Find the number of male candidates.

回答 (2)

2007-01-22 2:22 am
✔ 最佳答案
(a).

(i).

Total number of candidates (who can met the minimum requirement of entering Form 6)
= 31,500 students / 35 %
= (31,500 / 0.35) students
= 90,000 students (ANSWER)

(ii).

Let c % of the candidates be the percentage of male candidates,

(c + 8) % of the candidates be the percentage of male candidates.

c % + (c + 8) % = 100%
(2c + 8) % = 100%
2c + 8 = 100
2 (c + 4) = 100
c + 4 = 50
c = 46 (%)

The number of male candidates (who can met the minimum requirement of entering Form 6)
= 90,000 students x 46%
= 41,400 students (ANSWER)

That is, the number of female candidates (who can met the minimum requirement of entering Form 6)
= 90,000 students x 54%
= 48,600 students

PROVE:

The number of male candidates + The number of female candidates
= 41,400 students + 48,600 students
= 90,000 students
= Total number of candidates (who can met the minimum requirement of entering Form 6)
參考: Me
2007-01-21 6:38 am
(i)
Total number of candidates
= 31 500 / 35%
= 90 000.

(ii)
Let x% of the candidates be male candidates.
x% + (x% + 8%) = 100%
x = 46
Thus,
number of male candidates
= 90 000 x 46%
= 41 400.


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