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**silverpuma****Member**- Registered: 2011-06-19
- Posts: 72

Im on ratios in my working through the ccea gcse higher textbook and im really enjoying it. ON ratios I sailed through the summary questions and exam questions without too much trouble and was happy I had a good grasp.....until.....this question stumped me.

Question: A prize is divided between three people P, Q and R. If the ratio of P's share to Q's share is 3:1 and of Q's share to R's share is 2:5 , calculate the ratio of P's share to R's share.

The answer is 6:5 as per the book but I need someone to explain ....how...the steps to this answer is arrived at. Many thanks for your patience with this old codger...

Men occasionally stumble over the truth, but most of them pick themselves up and hurry off as if nothing ever happened. ― Winston Churchill

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,821

Hi;

Substitute in the first equation the value of Q = ( 2 / 5 R).

or 6:5

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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**silverpuma****Member**- Registered: 2011-06-19
- Posts: 72

Thanks bobbym I'll have a good think about this. I confess it's still not overly clear in my mind.

Men occasionally stumble over the truth, but most of them pick themselves up and hurry off as if nothing ever happened. ― Winston Churchill

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 93,821

What do you need help on?

**In mathematics, you don't understand things. You just get used to them.**

**I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.**

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