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Example 3 Repeated Using Fractions
Two amounts of money are in the ratio 4:3. If the first amount is £24, what is
the second amount?
In this question, we are not given the total, and we are not asked for it either.
We just have to find the size of the other portion.
The ratio is 4:3, and the 4 parts amount to £24. The 3 parts is three-quarters of 4
parts, so calculate
3
4
of £24.
3 parts =
3
4
× £24 = £18
Exercise 2
1)
Divide £300 in the ratio of 2:1
2)
Divide £60 in the ratio 5:7
3)
A line is divided into three portions in the ratio 2:3:7 If the line is 84 cm
long, calculate the length of each portion.
4)
A sum of money is divided in ratio of 2:3. If the larger amount is £18, what
is:
i) the other amount and ii) the total sum of money?
5)
£600 is divided amongst three children in the ratio of their ages. John is 5
years old, Claire is 7 years old and Robert is 8 years old. How much money
does Claire receive?
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