1. How much di Mo get?
Known :
Ratio = Mo : Nigel = 3 : 4
Nigel's money = £6
Asked :
Mo's money = ...?
Answer :
[tex] \frac{3}{4} = \frac{mo}{nigel} \\ \frac{3}{4} = \frac{mo}{6} \\ mo = \frac{3 \times 6}{4} \\ mo = \frac{9}{2} = 4\frac{1}{2} \\ mo = 4.5[/tex]
So, Mo gets £4.5
2. How much did they originally share?
Known :
Ratio = Ollie : Peter = 5 : 2
Peter's money = £24 less than Ollie
Difference = £24
Difference in ratio = 5 - 2 = 3
Asked :
How much did they originally share?
Answer :
First, let's find out each of their money
Ollie :
[tex] = \frac{ollies \: ratio}{difference \: in \: ratio} \times difference \: money \\ = \frac{5}{3} \times 24 \\ = 5 \times 8 \\ = 40[/tex]
Oliie's money is £40
Peter :
[tex] = \frac{peters \: ratio}{difference \: in \: ratio} \times difference \: money \\ = \frac{3}{2} \times 24 \\ = 3 \times 12 \\ = 36[/tex]
Peter's money is £36
The amount of their money :
= Ollie + Peter
= £40 + £36
= £76
So, they originally share is £76
Hope it helpful and useful :)
