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Financial Mathematics · JSS 2

Sharing in a given ratio

Divide money or items fairly in a given ratio.

  • Share = your part of the ratiosum of the ratio × total

What the letters mean

ratio
e.g. 2 : 3
sum of the ratio
e.g. 2 + 3 = 5 parts

Worked example

Share ₦60,000 between Ada and Tunde in the ratio 2 : 3.

  1. Step 1: Total parts

    2 + 3 = 5

  2. Step 2: Ada

    25 × 60,000 = ₦24,000

  3. Step 3: Tunde

    35 × 60,000 = ₦36,000

Final answer: Ada ₦24,000, Tunde ₦36,000

Check: the shares must add up to the total.

See it

Play with this picture from the Ratio lesson.

₦6,000 = 5 equal parts₦1,200₦1,200₦1,200₦1,200₦1,200Tunde: ₦2,400Bola: ₦3,600
Tunde's parts2
Bola's parts3

Ratio 2 : 3 → total parts 2 + 3 = 5

One part = ₦6,000 ÷ 5 = ₦1,200

Tunde = 2 × one part = ₦2,400 · Bola = 3 × one part = ₦3,600

Check: ₦2,400 + ₦3,600 = ₦6,000