A teacher from a government school is saving for the years he has taught. He has 120 million on his account and wants to use his savings to construct single and double rooms for rentals.

Question

Asked on July 1, 2026Mathematics

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.

Accepted Answer · 2026-07-01T16:52:49.424Z

ITEM 1 a) Kuhesabu kiasi ambacho kila mmoja atapokea: Step 1: Kokotoa sehemu yako (wewe, mkubwa). Wewe unapokea 40\% ya Sh. 10,500,000. Sehemu yako = 0.40 × 10,500,000 = Sh. 4,200,000 Step 2: Kokotoa kiasi kilichobaki baada ya wewe kuchukua sehemu yako. Kiasi kilichobaki = 10,500,000 - 4,200,000 = Sh. 6,300,000 Step 3: Gawanya kiasi kilichobaki kati ya Moses na Joshua kwa uwiano wa 3:4. Jumla ya sehemu za uwiano ni 3 + 4 = 7. Sehemu ya Moses: Sehemu ya Moses = (3)/(7) × 6,300,000 = 3 × 900,000 = Sh. 2,700,000 Sehemu ya Joshua: Sehemu ya Joshua = (4)/(7) × 6,300,000 = 4 × 900,000 = Sh. 3,600,000 Kiasi ambacho kila mmoja atapokea ni: Wewe: Sh. 4,200,000 Moses: Sh. 2,700,000 Joshua: Sh. 3,600,000 b) Kuamua tarehe inayofuata ambayo nyote watatu mtakutana benki: Step 1: Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha idadi ya siku za ziara zenu. Wewe: kila siku 8 Moses: kila siku 12 Joshua: kila siku 15 Kutafuta LCM ya 8, 12, na 15: 8 = 2^3 12 = 2^2 × 3 15 = 3 × 5 LCM(8, 12, 15) = 2^3 × 3 × 5 = 8 × 3 × 5 = 120 siku Mtakutana tena baada ya siku 120. Step 2: Kokotoa tarehe inayofuata kuanzia tarehe ya mwisho ya kukutana (Mei 5). Siku zilizobaki mwezi Mei (Mei 5 hadi Mei 31): 31 - 5 = 26 siku. Siku zilizobaki: 120 - 26 = 94 siku. Mwezi Juni: 30 siku. Siku zilizobaki: 94 - 30 = 64 siku. Mwezi Julai: 31 siku. Siku zilizobaki: 64 - 31 = 33 siku. Mwezi Agosti: 31 siku. Siku zilizobaki: 33 - 31 = 2 siku. Hii inamaanisha siku 2 za mwezi unaofuata. Tarehe inayofuata mtakayokutana ni Septemba 2. c) Kuamua kama tarehe hiyo inafaa kwa nyote watatu kumtembelea baba yenu: Tarehe ya kukutana ni Septemba 2. Joshua ana safari Agosti 4. Tarehe hii ni kabla ya Septemba 2, kwa hivyo Joshua atakuwa amerudi na atapatikana. Moses ana mtihani Septemba 6. Tarehe ya kukutana (Septemba 2) ni siku nne kabla ya mtihani wake. Ingawa ni karibu na mtihani, Moses bado atakuwa huru na anaweza kuhudhuria ziara hiyo. Kwa hivyo, tarehe ya Septemba 2 inafaa kwa nyote watatu kumtembelea baba yenu. Jibu: Ndio, tarehe hiyo inafaa. Tuma swali linalofuata 📸

Accepted Answer · 2026-07-01T16:52:49.424Z

ITEM 1 a) Kuhesabu kiasi ambacho kila mmoja atapokea: Step 1: Kokotoa sehemu yako (wewe, mkubwa). Wewe unapokea 40\% ya Sh. 10,500,000. Sehemu yako = 0.40 × 10,500,000 = Sh. 4,200,000 Step 2: Kokotoa kiasi kilichobaki baada ya wewe kuchukua sehemu yako. Kiasi kilichobaki = 10,500,000 - 4,200,000 = Sh. 6,300,000 Step 3: Gawanya kiasi kilichobaki kati ya Moses na Joshua kwa uwiano wa 3:4. Jumla ya sehemu za uwiano ni 3 + 4 = 7. Sehemu ya Moses: Sehemu ya Moses = (3)/(7) × 6,300,000 = 3 × 900,000 = Sh. 2,700,000 Sehemu ya Joshua: Sehemu ya Joshua = (4)/(7) × 6,300,000 = 4 × 900,000 = Sh. 3,600,000 Kiasi ambacho kila mmoja atapokea ni: Wewe: Sh. 4,200,000 Moses: Sh. 2,700,000 Joshua: Sh. 3,600,000 b) Kuamua tarehe inayofuata ambayo nyote watatu mtakutana benki: Step 1: Tafuta Kigawo Kidogo Zaidi cha Pamoja (LCM) cha idadi ya siku za ziara zenu. Wewe: kila siku 8 Moses: kila siku 12 Joshua: kila siku 15 Kutafuta LCM ya 8, 12, na 15: 8 = 2^3 12 = 2^2 × 3 15 = 3 × 5 LCM(8, 12, 15) = 2^3 × 3 × 5 = 8 × 3 × 5 = 120 siku Mtakutana tena baada ya siku 120. Step 2: Kokotoa tarehe inayofuata kuanzia tarehe ya mwisho ya kukutana (Mei 5). Siku zilizobaki mwezi Mei (Mei 5 hadi Mei 31): 31 - 5 = 26 siku. Siku zilizobaki: 120 - 26 = 94 siku. Mwezi Juni: 30 siku. Siku zilizobaki: 94 - 30 = 64 siku. Mwezi Julai: 31 siku. Siku zilizobaki: 64 - 31 = 33 siku. Mwezi Agosti: 31 siku. Siku zilizobaki: 33 - 31 = 2 siku. Hii inamaanisha siku 2 za mwezi unaofuata. Tarehe inayofuata mtakayokutana ni Septemba 2. c) Kuamua kama tarehe hiyo inafaa kwa nyote watatu kumtembelea baba yenu: Tarehe ya kukutana ni Septemba 2. Joshua ana safari Agosti 4. Tarehe hii ni kabla ya Septemba 2, kwa hivyo Joshua atakuwa amerudi na atapatikana. Moses ana mtihani Septemba 6. Tarehe ya kukutana (Septemba 2) ni siku nne kabla ya mtihani wake. Ingawa ni karibu na mtihani, Moses bado atakuwa huru na anaweza kuhudhuria ziara hiyo. Kwa hivyo, tarehe ya Septemba 2 inafaa kwa nyote watatu kumtembelea baba yenu. Jibu: Ndio, tarehe hiyo inafaa. Tuma swali linalofuata 📸

A teacher from a government school is saving for the years he has taught. He has 120 million on his account and wants to use his savings to construct single and double rooms for rentals.

Need help with your own homework?

More Mathematics Questions

A teacher from a government school is saving for the years he has taught. He has 120 million on his account and wants to use his savings to construct single and double rooms for rentals.

Need help with your own homework?

More Mathematics Questions