Study the examples on how to determine indicated quantities from a given proportion, then solve the items labeled as your tasks.

(that's the instruction given)

S 5q - 6r - 7s 4 X Find x. Find the value of in if 5e - 6f - 2g Solution 5 = 5q - 6r - 75 Let 2 =k . Then 4 q = 2k , r = 3k , s = 4k, and 5g - 6r-75 = kx. 5(2k) - 6(3k) - 7(4K) = kx 10k - 18k - 28k = kx -36k = kx x =-363. If r, s and t represent three positive numbers such that ifg:h=4:3, evaluate 4g + h : 8g ris:1 =4:3:2 andr -s-r = 27. Find the values of r. s and (. Solution S 3k 27 Let 2 3 3 So, r = 4k : s = 3k ; 1 = 24 K=9 r- - 1 =27 k = (3-3) Notice that we need to (4k) - (34) -(2K) =27 reject -3because r, s and r 161 - 9K - 4K = 27 are positive numbers Therefore, 164 - 13k = 27 = 4k = 4(3) = 12 3K = 27 1=3k = 3(3) = 9 1= 21 = 2(3) =6