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
Huu ni mfumo wa milinganyo miwili. Tutatumia njia ya kuondoa (elimination method) kutatua. Step 1: Andika milinganyo. Wacha h iwe gharama ya kuku mmoja na g iwe gharama ya mbuzi mmoja. Kutoka taarifa ya kwanza: 3h + 2g = 4500 (Mlinganyo 1) Kutoka taarifa ya pili: 3h + 5g = 9000 (Mlinganyo 2) Step 2: Ondoa Mlinganyo 1 kutoka Mlinganyo 2. Ili kuondoa h, tutatoa Mlinganyo 1 kutoka Mlinganyo 2. (3h + 5g) - (3h + 2g) = 9000 - 4500 3h + 5g - 3h - 2g = 4500 3g = 4500 Step 3: Tatua kwa g (gharama ya mbuzi mmoja). Gawanya pande zote mbili kwa 3. (3g)/(3) = (4500)/(3) g = 1500 Step 4: Badilisha thamani ya g katika mojawapo ya milinganyo asili. Tutatumia Mlinganyo 1 (3h + 2g = 4500). 3h + 2(1500) = 4500 3h + 3000 = 4500 Step 5: Tatua kwa h (gharama ya kuku mmoja). Toa 3000 kutoka pande zote mbili. 3h = 4500 - 3000 3h = 1500 Gawanya pande zote mbili kwa 3. (3h)/(3) = (1500)/(3) h = 500 Step 6: Toa majibu. Gharama ya kuku mmoja ni Sh. 500 na gharama ya mbuzi mmoja ni Sh. 1500. Gharama ya kuku mmoja ni: Sh. 500 Gharama ya mbuzi mmoja ni: Sh. 1500 Drop the next question.