TOPIC 2: RATIOS AND PROPORTIONS 11. On Mr. Okello's farm, there are 40 cows, 25 goats, 60 hens and 15 ducks. Find the: i). Ratio of goats to cows. ii). Ratio of hens to ducks. iii). Ratio of cows to the total number. iv). Ratio of cows to goats to ducks to hens.

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Asked on August 30, 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 · 2026-08-30T09:15:09.699Z

Hapa kuna masuluhisho ya maswali yako: 12a) Katika darasa la wanafunzi 80, uwiano wa wavulana kwa wasichana ni 3:5. i) Tafuta idadi ya wasichana. Step 1: Tafuta jumla ya sehemu za uwiano. Jumla ya sehemu za uwiano ni 3 + 5 = 8. Step 2: Tafuta sehemu ya wasichana kutoka jumla ya wanafunzi. Idadi ya wasichana ni (5)/(8) ya wanafunzi wote. Idadi ya wasichana = (5)/(8) × 80 Idadi ya wasichana = 5 × 10 Idadi ya wasichana = 50 wasichana ii) Tafuta idadi ya wavulana. Step 1: Tafuta sehemu ya wavulana kutoka jumla ya wanafunzi. Idadi ya wavulana ni (3)/(8) ya wanafunzi wote. Idadi ya wavulana = (3)/(8) × 80 Idadi ya wavulana = 3 × 10 Idadi ya wavulana = 30 wavulana iii) Ikiwa 75% ya wasichana wana sare za shule, ni wasichana wangapi hawana sare? Step 1: Tafuta asilimia ya wasichana wasio na sare. Asilimia ya wasichana wasio na sare ni 100\% - 75\% = 25\%. Step 2: Tafuta idadi ya wasichana wasio na sare. Wasichana wasio na sare = 25\% ya 50 Wasichana wasio na sare = (25)/(100) × 50 Wasichana wasio na sare = (1)/(4) × 50 Wasichana wasio na sare = (50)/(4) Wasichana wasio na sare = 12.5 wasichana Kwa kuwa huwezi kuwa na nusu ya msichana, jibu linaweza kumaanisha kuwa wasichana 12 hawana sare na mmoja ana sare nusu, au kuna makosa katika swali au data. Kwa madhumuni ya hesabu, jibu ni 12.5. 13) Punguza yafuatayo kama ilivyoelekezwa. i) 400g kwa uwiano wa 1:4 Step 1: Punguza 400g kwa kuzidisha na uwiano mpya. Kupunguza kwa uwiano wa 1:4 kunamaanisha thamani mpya itakuwa (1)/(4) ya thamani ya awali. Thamani mpya = (1)/(4) × 400g Thamani mpya = 100g ii) Sh. 10,000 kwa uwiano wa 7:20 Step 1: Punguza Sh. 10,000 kwa kuzidisha na uwiano mpya. Kupunguza kwa uwiano wa 7:20 kunamaanisha thamani mpya itakuwa (7)/(20) ya thamani ya awali. Thamani mpya = (7)/(20) × 10,000 Sh. Thamani mpya = 7 × (10,000)/(20) Sh. Thamani mpya = 7 × 500 Sh. Thamani mpya = 3,500 Sh. Tuma swali linalofuata 📸

Accepted Answer · 2026-08-30T09:15:09.699Z

Hapa kuna masuluhisho ya maswali yako: 12a) Katika darasa la wanafunzi 80, uwiano wa wavulana kwa wasichana ni 3:5. i) Tafuta idadi ya wasichana. Step 1: Tafuta jumla ya sehemu za uwiano. Jumla ya sehemu za uwiano ni 3 + 5 = 8. Step 2: Tafuta sehemu ya wasichana kutoka jumla ya wanafunzi. Idadi ya wasichana ni (5)/(8) ya wanafunzi wote. Idadi ya wasichana = (5)/(8) × 80 Idadi ya wasichana = 5 × 10 Idadi ya wasichana = 50 wasichana ii) Tafuta idadi ya wavulana. Step 1: Tafuta sehemu ya wavulana kutoka jumla ya wanafunzi. Idadi ya wavulana ni (3)/(8) ya wanafunzi wote. Idadi ya wavulana = (3)/(8) × 80 Idadi ya wavulana = 3 × 10 Idadi ya wavulana = 30 wavulana iii) Ikiwa 75% ya wasichana wana sare za shule, ni wasichana wangapi hawana sare? Step 1: Tafuta asilimia ya wasichana wasio na sare. Asilimia ya wasichana wasio na sare ni 100\% - 75\% = 25\%. Step 2: Tafuta idadi ya wasichana wasio na sare. Wasichana wasio na sare = 25\% ya 50 Wasichana wasio na sare = (25)/(100) × 50 Wasichana wasio na sare = (1)/(4) × 50 Wasichana wasio na sare = (50)/(4) Wasichana wasio na sare = 12.5 wasichana Kwa kuwa huwezi kuwa na nusu ya msichana, jibu linaweza kumaanisha kuwa wasichana 12 hawana sare na mmoja ana sare nusu, au kuna makosa katika swali au data. Kwa madhumuni ya hesabu, jibu ni 12.5. 13) Punguza yafuatayo kama ilivyoelekezwa. i) 400g kwa uwiano wa 1:4 Step 1: Punguza 400g kwa kuzidisha na uwiano mpya. Kupunguza kwa uwiano wa 1:4 kunamaanisha thamani mpya itakuwa (1)/(4) ya thamani ya awali. Thamani mpya = (1)/(4) × 400g Thamani mpya = 100g ii) Sh. 10,000 kwa uwiano wa 7:20 Step 1: Punguza Sh. 10,000 kwa kuzidisha na uwiano mpya. Kupunguza kwa uwiano wa 7:20 kunamaanisha thamani mpya itakuwa (7)/(20) ya thamani ya awali. Thamani mpya = (7)/(20) × 10,000 Sh. Thamani mpya = 7 × (10,000)/(20) Sh. Thamani mpya = 7 × 500 Sh. Thamani mpya = 3,500 Sh. Tuma swali linalofuata 📸

TOPIC 2: RATIOS AND PROPORTIONS 11. On Mr. Okello's farm, there are 40 cows, 25 goats, 60 hens and 15 ducks. Find the: i). Ratio of goats to cows. ii). Ratio of hens to ducks. iii). Ratio of cows to the total number. iv). Ratio of cows to goats to ducks to hens.

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TOPIC 2: RATIOS AND PROPORTIONS 11. On Mr. Okello's farm, there are 40 cows, 25 goats, 60 hens and 15 ducks. Find the: i). Ratio of goats to cows. ii). Ratio of hens to ducks. iii). Ratio of cows to the total number. iv). Ratio of cows to goats to ducks to hens.

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