Question

Natasha, Gordon & Richard share some money in the ratio 3 : 9 : 1. In total, Natasha and Richard receive £44. How much does Gordon get?

Answer 1

Given :-

• Natasha, Gordon & Richard share some money in the ratio 3 : 9 : 1.
• In total, Natasha and Richard receive £44.

Solution :-

Let us Assume That,

→ Natasha Received = 3x

→ Gordon Received = 9x

→ Richard Received = x .

So,

→ Natasha + Richard received = 3x + x = 4x

→ 4x = 44

Dividing both sides by 4,

→ x = 11.

So,

→ Gordon Received = 9x = 9*11 = £99.

Hence, Gordon receive Total Amount of £99.

Answer 2

Answer:

Let the Share of Natasha, Gordon and Richard be 3n, 9n and n respectively.

$\underline{\bf{\dag}\:\:\textsf{According to the Question :}} \\\\\dashrightarrow\tt\:\: Natasha+Richard=\text{\textsterling} \:44\\\\\\\dashrightarrow\tt\:\:3n + n =\text{\textsterling} \:44\\\\\\\dashrightarrow\tt\:\:4n =\text{\textsterling} \:44\\\\\\\dashrightarrow\tt\:\:n = \dfrac{\text{\textsterling}\:44}{4}\\\\\\\dashrightarrow\tt\:\:n =\text{\textsterling}\:11\\\\\underline{\bf{\dag}\:\:\textsf{Share of Gordon Is :}}\\\\:\implies\tt Gordon =9n \\\\\\:\implies\tt Gordon=9(\text{\textsterling}\:11) \\\\\\:\implies\tt \underline{\boxed{ \red{\tt Gordon =\text{\textsterling}\:99}}}$

⠀

$\therefore\:\underline{\textsf{Share of Gordon will be \textbf{\text{\textsterling}\:99}}}.$