- 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:
- Find the total number of ratio parts.
- Calculate the size of each ratio part.
- Work out the size of each share.
In the example you gave, the calculations will be as follows:
- The total number of ratio parts is 1 + 2 + 4 = 7 parts
- Each part is worth £280 ÷ 7 = £40
- So each person's share is:
- P gets 1 part (£40),
- Q gets 2 parts (£80),
- R gets 4 parts (£160).
Finally, to check your working, add the separate amounts and check they add up to the original
total of £280.
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