Question

Samuella,Genevieve and Spendelove shared €14000,00 among themselves, Samuella had twice as much as Genevieve and Genevieve also had twice as much as Spendilove.How much did Genevieve get?

Answer 1

Answer:

$\huge\boxed{\text{Genevieve}=4,000}}$

Step-by-step explanation:

In order to solve this, we must first algebraically represent the amounts each will be getting in terms of the same value. We will use x to represent the amount that Spendelove receives.

Spendelove: x

Genevieve had twice as much as Spendelove: 2x

Samuella had twice as much as Genevieve: 2 * 2x = 4x

The total they shared is €14,000, so we can set up the equation:

Spendelove + Genevieve + Samuella = €14,000

$x + 2x + 4x = 14,000$

Combining like terms:

$7x = 14,000$

Now solve for x:

$x = \frac{14,000}{ 7}$

$x = 2,000$

So, Spendelove (x) receives €2,000.

Genevieve (2x) receives:

2x = 2 * €2,000

Genevieve = €4,000

Therefore, Genevieve receives €4,000.