Question

Rachel, Neil, Caroline share an amount of money.

Answer 1

The fraction of the money belonging to Rachel is $\frac{5}{16}$

Let $R$ be the amount of money Rachel has

Let $N$ be the amount of money Neil has

Let $C$ be the amount of money Caroline has

Let $M$ be the total amount of money shared between the three people

Then, from the problem we have the following relationships

$R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R$

Substituting the formulae for $N$ and $C$ into the sum $R+N+C=M$, we get

$R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}$

Or, we can say that, $R=\frac{5}{16}\text{ of }M$

Therefore, the fraction of money Rachel gets is $\frac{5}{16}$ of the total amount.

For an additional example of how to solve word problems that involve sharing money among people, see this answered question: brainly.com/question/23286685