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.

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Answer
UGX 5,600,000
Step 1: Hesabu kiasi kilichotengwa kwa posho, vifaa, na kukodisha. Jumla ya bajeti ni UGX 19,000,000.
Step 2: Hesabu kiasi cha pesa kilichotengwa kwa idara ya ustawi (a). Kiasi kilichotengwa kwa idara ya ustawi ni salio la bajeti baada ya matumizi mengine. Kiasi cha pesa kilichotengwa kwa idara ya ustawi ni .
Step 3: Hesabu kiasi cha pesa kilichoombwa na idara ya ustawi. Idara ya ustawi iliomba ongezeko la pesa kwa uwiano wa 4:3 kutoka kiasi cha mwaka uliopita cha UGX 5,400,000. Hivyo, kiasi kipya kilichoombwa () kinahusiana na kiasi cha zamani kama ifuatavyo: Ili kupata , tunazidisha kiasi cha zamani kwa uwiano: Kiasi kilichoombwa na idara ya ustawi ni UGX 7,200,000.
Step 4: Linganisha kiasi kilichotengwa na kiasi kilichoombwa (b). Kiasi kilichotengwa kwa idara ya ustawi (kutoka Hatua ya 2) ni UGX 5,600,000. Kiasi kilichoombwa na idara ya ustawi (kutoka Hatua ya 3) ni UGX 7,200,000. Kwa kuwa , utawala haukutenga pesa kama ilivyoombwa na idara ya ustawi. Jibu ni .
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Hesabu kiasi kilichotengwa kwa posho, vifaa, na kukodisha. Jumla ya bajeti ni UGX 19,000,000.
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.