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Share ₦2.80 in the ratio 4 : 3. If a sum of money is shared between two children in the ratio 2 : 7 and the bigger share amounts to ₦2800.00. What amount was shared?

Mathematics

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Here are the solutions to the problems:

: Share ₦2.80 in the ratio 4 : 3.

  1. Find the total number of parts in the ratio.

    The ratio is 4:34:3.
    Total parts =4+3=7= 4 + 3 = 7.

  2. Calculate the value of one part.

    The total amount to be shared is ₦2.80.
    Value of one part =Total amountTotal parts=₦2.807= \frac{\text{Total amount}}{\text{Total parts}} = \frac{₦2.80}{7}.

    ₦2.807=₦0.40\frac{₦2.80}{7} = ₦0.40
  3. Calculate each share.

    First share =4×₦0.40=₦1.60= 4 \times ₦0.40 = ₦1.60.
    Second share =3×₦0.40=₦1.20= 3 \times ₦0.40 = ₦1.20.

    The shares are ₦1.60 and ₦1.20.

    ₦1.60 and ₦1.20\boxed{₦1.60 \text{ and } ₦1.20}

    : If a sum of money is shared between two children in the ratio 2 : 7 and the bigger share amounts to ₦2800.00. What amount was shared?

  4. Identify the ratio and the bigger share.

    The ratio is $2:7$. The bigger share corresponds to the larger number in the ratio, which is 7.
    The bigger share is ₦2800.00.

  5. Determine the value of one part.

    Since 7 parts equal ₦2800.00, the value of one part is:

    Value of one part=₦2800.007=₦400.00\text{Value of one part} = \frac{₦2800.00}{7} = ₦400.00
  6. Calculate the total sum of money shared.

    The total number of parts in the ratio is 2+7=92 + 7 = 9.
    Total amount shared =Total parts×Value of one part= \text{Total parts} \times \text{Value of one part}.

    Total amount shared=9×₦400.00=₦3600.00\text{Total amount shared} = 9 \times ₦400.00 = ₦3600.00

    The total amount shared was ₦3600.00.

    ₦3600.00\boxed{₦3600.00}
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