> Activity ving Problems In Study the examples on how to determine indicated quantities from a given proportion, then solve the items labeled as Your Task. Your Task Examples 1. If m : n = 4:3, find 3m - 2n : 3m + n Find = if Solution 4 An 5y - 2s : 10 = 3y -s = 7. 3 3 An Using m= 3 4n 3m - 2n 3 3 2n An - 21 2n 2 3mi + 1 3 + 71 An + 1 Therefore, 3m - 2n : 3m + n = 2:5 2. If e and b represent two non-zero numbers, find the Solve for the ratio : if u + 3uv- ratio e : b if 2e' + eb- 3b' = 0. 10v = 0. Solution 20' + eb - 3b = 0 2c=-3b e=b (2e + 3b) (e -b) =0 2e -3b c b 26 2e+ 3b=0 or e -3 e -b=0 h 2 b Hence, e : b = -3 : 2 or 1 : 1 3. If r, s and f represent three positive numbers such that if g : h = 4:3, evaluate 4g + h : 8g T:s:1 =4:3:2 andr -s' -P =27. + h Find the values of r, s and t. Solution Let S= =kk#0 3k- 27 1 3 2 3 3 So, r = 4k ; s = 3k ; t = 2k k= 9 - s' - 1' = 27 k = 13-3} (4k) -(3k) - (2k) = 27 Notice that we need to reject -3 because r, s and r 16k -9K -4k' = 27 are positive numbers. 16k -13k = 27 Therefore: 3k' = 27 T = 4k = 4(3) = 12 1=3k = 3(3) = 9 1 = 2k = 2(3) = 6oubli PARTME schools Division quinu ALASIQUI NATION OR FALSE UMMATIVE ASSE Does the s 2. Do the 3. 1. ite T if the stat Malasia S 59-6r -7s Find the value of m if 4. If N /D 3 4 X . Find x. e _f _g 5e-6f -28 1 2 3 m Solution 9 r_ S 59 -6r -7s Let = k Then 3 4 X q = 2k, r = 3k, s = 4k, and 5q - 6r - 7s = kx. 5(2k) - 6(3k) - 7(4k) = kx 10k - 18k - 28k = kx -36k = kx x=-36