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Ann, Babra and Christine shared money in the ratio of 4:5:6 respectively. If Ann got sh. 700,000 less than Christine; (a) find the amount of money that they shared. (b) calculate the amount of money Christine got.

Mathematics

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2 parts
a

sh. 5,250,000\text{sh. } 5,250,000

b

sh. 2,100,000\text{sh. } 2,100,000

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Part a· 4 steps

Find the amount of money that they shared.

  1. Determine the difference in ratio parts between Christine and Ann.

    The ratio for Ann:Babra:Christine is 4:5:64:5:6.
    Christine's share is 6 parts, and Ann's share is 4 parts.
    The difference in parts is 6−4=26 - 4 = 2 parts.

  2. Calculate the value of one ratio part.

    We are given that Ann got sh. 700,000 less than Christine, which corresponds to the 2 parts difference.

    2 parts=sh. 700,0002 \text{ parts} = \text{sh. } 700,000 1 part=sh. 700,0002=sh. 350,0001 \text{ part} = \frac{\text{sh. } 700,000}{2} = \text{sh. } 350,000

  3. Calculate the total number of ratio parts.

    Total parts = 4+5+6=154 + 5 + 6 = 15 parts.

  4. Calculate the total amount of money shared.

    Total amount = Total parts ×\times Value of 1 part

    Total amount=15×sh. 350,000=sh. 5,250,000\text{Total amount} = 15 \times \text{sh. } 350,000 = \text{sh. } 5,250,000

    The amount of money they shared is sh. 5,250,000\boxed{\text{sh. } 5,250,000}.

Part b

sh. 2,100,000\text{sh. } 2,100,000

Calculate the amount of money Christine got.

  1. Use Christine's ratio part and the value of one part.

    Christine's share is 6 parts.
    Value of 1 part = sh. 350,000.

  2. Calculate Christine's amount.

    Christine’s amount=6×sh. 350,000=sh. 2,100,000\text{Christine's amount} = 6 \times \text{sh. } 350,000 = \text{sh. } 2,100,000

    The amount of money Christine got is sh. 2,100,000\boxed{\text{sh. } 2,100,000}.

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