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If a trader had U.S dollars 3,600 and wanted to exchange it for GBP sterling, how many GBP did she get?

Mathematics

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Answer

1:00 mchana\text{1:00 mchana}

Step-by-step solution

3 steps

Ili kujua ni lini kengele zitapiga pamoja tena, tunahitaji kutafuta Kigawe Kidogo cha Pamoja (LCM) cha vipindi vyao vya kupiga.

  1. Tafuta LCM ya 20, 30, na 40.

    Tunatumia mbinu ya vigawo vikuu:

    20=22×520 = 2^2 \times 5 30=2×3×530 = 2 \times 3 \times 5 40=23×540 = 2^3 \times 5

    LCM inapatikana kwa kuchukua vigawo vikuu vyote vilivyopo na kuzidisha kwa nguvu zao za juu zaidi:

    LCM(20,30,40)=23×31×51=8×3×5=120\text{LCM}(20, 30, 40) = 2^3 \times 3^1 \times 5^1 = 8 \times 3 \times 5 = 120

    Hivyo, kengele zitapiga pamoja tena baada ya dakika 120.

  2. Badilisha dakika 120 kuwa masaa.

    Tunajua kuwa saa 1 ina dakika 60.

    Masaa=120 dakika60 dakika/saa=2 masaa\text{Masaa} = \frac{120 \text{ dakika}}{60 \text{ dakika/saa}} = 2 \text{ masaa}
  3. Ongeza muda huu kwenye muda wa awali wa kupiga.

    Kengele zilipiga pamoja saa 11:00 asubuhi.
    Muda mpya = 11:00 asubuhi + masaa 2 = 1:00 mchana.

    Kengele zitapiga pamoja tena saa 1:00 mchana.

    1:00 mchana\text{1:00 mchana}
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