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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Haya hapa masuluhisho ya maswali yako:
Swali la 1: Akiba ya Alfonse
Step 1: Tambua akiba ya awali na uwiano mpya. Akiba ya awali ya Alfonse ni 7000/=. Anapanga kuongeza akiba yake kwa uwiano wa 4:3, ambapo 4 inawakilisha akiba mpya na 3 inawakilisha akiba ya awali.
Step 2: Weka mlinganyo wa uwiano. Tutaweka kama akiba mpya.
Step 3: Tafuta akiba mpya. Ili kupata , zidisha pande zote mbili za mlinganyo kwa 7000: Akiba mpya ya kila mwezi baada ya ongezeko ni .
Swali la 2: Safari ya Martha
Kumbuka kuhusu swali: Maneno " of her journey by bus, by motorcycle" yanaweza kutafsiriwa kwa njia tofauti. Ikiwa na ni sehemu za safari nzima, basi jumla ya sehemu hizo () inazidi 1, jambo ambalo haliwezekani kwa sehemu za safari moja. Kwa hivyo, tutachukulia kuwa km na km ni umbali halisi aliosafiri, licha ya neno "of her journey" ambalo kwa kawaida huashiria sehemu.
Step 1: Tambua umbali uliosafiri kwa basi na pikipiki. Umbali aliosafiri kwa basi = km. Umbali aliosafiri kwa pikipiki = km = km.
Step 2: Badilisha jumla ya safari kuwa sehemu isiyofaa. Jumla ya safari = km.
Step 3: Tafuta umbali aliotembea. Umbali aliotembea ni jumla ya safari kutoa umbali aliosafiri kwa basi na pikipiki. Ili kutoa sehemu hizi, tunahitaji madhehebu ya kawaida. Badilisha kuwa : Badilisha sehemu isiyofaa kuwa nambari mchanganyiko au desimali: Umbali aliotembea ni .
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Haya hapa masuluhisho ya maswali yako: Swali la 1: Akiba ya Alfonse Step 1: Tambua akiba ya awali na uwiano mpya.
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.