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First Year maths · Z.7 · Ratios and sharing

Share a total in a three-part ratio

Add all three parts, divide the total by that number, then multiply by the part you want.

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  1. A bag has red, blue and green counters in the ratio 6 : 1 : 5. There are 72 counters in all. How many are blue?

    Answer: 6

  2. A bag has red, blue and green counters in the ratio 3 : 2 : 4. There are 36 counters in all. How many are green?

    Answer: 16

  3. A bag has red, blue and green counters in the ratio 1 : 4 : 5. There are 40 counters in all. How many are green?

    Answer: 20

Tip: Add all three parts, divide the total by that number, then multiply by the part you want.

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