Caroline, Colin and Shara share some money.
Caroline gets 1/9 of the money.
Colin and Shara share the rest in the ratio 1:3.
What proportion does Colin get?
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Answer:
Colin gets 2/9 of the total money.
Step-by-step explanation:
Caroline gets 1/9 of the money
=> Colin and Shara together gets the remaining, which is 8/9 of the money.
∵ 1 - (1/9) = 8/9
Colin and Shara share money in the ratio 1:3.
This means that Colin has a share of 1/4 and Shara has a share of 3/4, in whatever they have together.
Colin and Shara together have 8/9 of the total money.
=> Colin will have 1/4 of 8/9 of the total money
=> Colin will have 1/4 * 8/9 of the total money.
=> Colin's share is:
1/4 * 8/9
= 8/36
= 2/9
Answer: Colin will have a share of 2/9 in the total money
Verify:
Caroine's share = 1/9
Colin's share = 2/9 (as we have found out)
Shara's share = 1 - (1/9) - (2/9) = 6/9
We can see that
2/9:6/9 = 1:3 (as given in the problem)
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