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A father shared money among his three sons Henry, Zavie and Simon. Henry got 3/4 of it and the rest was shared between Zavie and Simon. (a) Simon got 1/5 more than Zavie. Find how much they shared altogether if Zavie got sh 4000. (b) Calculate how much Henry got.

Mathematics

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Answers

2 parts
a

sh 35200\text{sh 35200}

b

sh 26400\text{sh 26400}

Step-by-step solution

6 steps

Huu hapa ni ufumbuzi wa swali lako:

Part a· 4 steps

Tafuta ni kiasi gani walishiriki kwa jumla ikiwa Zavie alipata sh 4000.

  1. Tafuta kiasi alichopata Simon.

    Simon alipata sh 15\frac{1}{5} zaidi ya Zavie.
    Kiasi alichopata Zavie ni sh 4000.
    Kiasi cha ziada alichopata Simon ni 15×4000\frac{1}{5} \times 4000.

    15×4000=800\frac{1}{5} \times 4000 = 800

    Kiasi alichopata Simon ni 4000+800=sh 48004000 + 800 = \text{sh } 4800.

  2. Tafuta jumla ya kiasi walichopata Zavie na Simon.

    Jumla ya kiasi walichopata Zavie na Simon ni kiasi cha Zavie + kiasi cha Simon.

    4000+4800=sh 88004000 + 4800 = \text{sh } 8800
  3. Tafuta sehemu ya jumla ya pesa walizopata Zavie na Simon.

    Henry alipata 34\frac{3}{4} ya jumla ya pesa.
    Sehemu iliyobaki ilishirikiwa kati ya Zavie na Simon.
    Sehemu iliyobaki ni 1−34=141 - \frac{3}{4} = \frac{1}{4} ya jumla ya pesa.
    Hivyo, sh 8800 inawakilisha 14\frac{1}{4} ya jumla ya pesa zote.

  4. Tafuta jumla ya pesa zote zilizoshirikiwa.

    Ikiwa 14\frac{1}{4} ya jumla ya pesa ni sh 8800, basi jumla ya pesa zote ni 4×88004 \times 8800.

    4×8800=sh 352004 \times 8800 = \text{sh } 35200

    Jumla ya pesa walizoshiriki ni sh 35200\boxed{\text{sh 35200}}.

Part b

sh 26400\text{sh 26400}

Kokotoa ni kiasi gani Henry alipata.

  1. Tumia jumla ya pesa zote zilizoshirikiwa kutoka sehemu (a).

    Jumla ya pesa zote zilizoshirikiwa ni sh 35200.

  2. Kokotoa kiasi alichopata Henry.

    Henry alipata 34\frac{3}{4} ya jumla ya pesa.
    Kiasi alichopata Henry ni 34×35200\frac{3}{4} \times 35200.

    34×35200=3×352004=3×8800=sh 26400\frac{3}{4} \times 35200 = 3 \times \frac{35200}{4} = 3 \times 8800 = \text{sh } 26400

    Kiasi alichopata Henry ni sh 26400\boxed{\text{sh 26400}}.

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