This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hili ni swali la mifumo ya milinganyo. Tutatumia njia ya kubadilisha (substitution method) kutatua. Step 1: Andika milinganyo. Wacha b iwe idadi ya wavulana na g iwe idadi ya wasichana. Kutoka taarifa ya kwanza: Jumla ya wavulana na wasichana ni 60. b + g = 60 (Mlinganyo 1) Kutoka taarifa ya pili: Idadi ya wavulana inazidi idadi ya wasichana kwa 8. b = g + 8 (Mlinganyo 2) Step 2: Badilisha Mlinganyo 2 katika Mlinganyo 1. Badilisha b katika Mlinganyo 1 na g + 8: (g + 8) + g = 60 Step 3: Tatua kwa g (idadi ya wasichana). Unganisha g na utatue: 2g + 8 = 60 2g = 60 - 8 2g = 52 g = (52)/(2) g = 26 Step 4: Tatua kwa b (idadi ya wavulana). Tumia thamani ya g = 26 katika Mlinganyo 2: b = g + 8 b = 26 + 8 b = 34 Step 5: Toa majibu. Idadi ya wavulana ni 34 na idadi ya wasichana ni 26. Idadi ya wavulana ni: 34 Idadi ya wasichana ni: 26 That's 2 down. 3 left today — send the next one.