Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

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.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline

**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

Offline

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

What do you need help on?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

Offline