SOLUTION: Hi At an exhibition 320 are Chinese. 5/7 of the remainder are Malay and the rest are Indian. The Malay form 1/3 of the total number of visitors. Half of the Indian and three quart

Question 1187779: Hi
At an exhibition 320 are Chinese. 5/7 of the remainder are Malay and the rest are Indian. The Malay form 1/3 of the total number of visitors. Half of the Indian and three quarters of the Malay are female. The ratio of the number of female visitors to male visitors is 5 to 3. How many Chinese male visitors are there.
Thanks

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

You don't get any benefit from this by having us work the problem for you.

So I will show you a step-by-step method for finding the answer and let you do the work.

GIVEN:
(1) # of Chinese = 320
(2a) 5/7 of the non-Chinese are Malay
(2b) 2/7 of the non-Chinese are Indian
(3) the Malay are 1/3 of the total
(4a) half of the Indian are female
(4b) 3/4 of the Malay are female
(5) the ratio of female to male is 5:3

There are dozens of ways to set up this problem. After digesting the given information, here is the way I worked the problem.

(6) From (2a) and (2b), let 5x be the number of Malay and 2x be the number of Indian
(7) From (6) and (3), find an expression for the total number
(8) From (6) and (7), find an expression for the number of Chinese
(9) From (8) and (1), determine the value of x
(10) From 6, 8, and 9, determine the number of Malay and Indian, and the total number
(11) From (4a), (4b), and (10), determine the numbers of male and female Malay and Indian
(12) From (5) and (10), determine the total number of male and female
(13) From (11) and (12), determine the number of Chinese male

done....

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