• From: Nadia
  • Date: 23 February 1999
  • Subject: Hard ratio question

I am usually alright with ratio questions, but I can't understand some of them like this one:

Penny, Quentin and Ran share a prize of £280 in the ratio 1:2:4.
How much does each receive?

Maths Help suggests:

Attempt this question in the same way as a two-share ratio questions:

  1. Find the total number of ratio parts.
  2. Calculate the size of each ratio part.
  3. Work out the size of each share.

In the example you gave, the calculations will be as follows:

  1. The total number of ratio parts is 1 + 2 + 4 = 7 parts
  2. Each part is worth £280 ÷ 7 = £40
  3. So each person's share is:

Finally, to check your working, add the separate amounts and check they add up to the original total of £280.

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