Turkey and Israel took part in Youth Games. From Turkey, the ratio of the number of male supporters to the number of female supporters was 1 : 18. From Israel, the ratio of the number of male supporters to the number of female supporters was 2 : 7. The total number of supporters from Turkey was ¹⁹₂₇ the total number of supporters from Israel.

1. What was the ratio of the number of male supporters from Turkey to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After another 32 male supporters from both countries joined the games, the percentage of all the female supporters became 78%. How many less female supporters from Turkey than Israel were there at first?

Turkey		Israel
19 u		27 u
Male supporters	Female supporters	Male supporters	Female supporters
1	18	2x3	7x3
1 u	18 u	6 u	21 u

(a)
Number of male supporters from Israel
= ²₉ x 27 u
= 6 u

Number of female supporters from Turkey
= ⁷₉ x 27 u
= 21 u

Total number of male supporters
= 1 u + 6 u
= 7 u

Male supporters from Turkey : Total male supporters
1 : 7

(b)

	Male supporters	Female supporters
Before	7x2 = 14%	39x2 = 78%
Change	+ 32
After	22%	78%

Number of male supporters in the end in percent
= 100% - 78%
= 22%

Total number of female supporters at first
= 18 u + 21 u
= 39 u

After another 32 male supporters from both countries joined the games, the percentage of all the female supporters became 78%.

Since only more male supporters joined the games, the number of female supporters remains unchanged. Make the number of female supporters the same.

39 u = 78%

1 u = 78% ÷ 39 = 2%

Number of male supporters at first in percent
= 7 x 2%
= 14%

Number of male supporters from both countries who joined the games
= 22% - 14%
= 8%

8% = 32 

1% = 32 ÷ 8 = 4

Number of less female supporters from Turkey than Israel at first
= 21 u - 18 u
= 3 u
= 3 x 2%
= 6%
= 6 x 4
= 24 

Answer(s): (a) 1 : 7; (b) 24