A father distrubes R500.00 between his three sons that the eldest son gets twice as much as the second son, who in turn, gets as much as the youngest son.
Using the Concept of Ratio, determine the amount that each son gets
To solve this problem using the concept of a ratio, we need to assign variables to the unknown amounts received by each son.
Let's say the youngest son receives x amount.
According to the given information, the second son would receive the same amount as the youngest son, so the second son also receives x amount.
The eldest son receives twice the amount given to the second son, which means he receives 2x.
Now, we can create a ratio using these amounts:
Youngest son : Second son : Eldest son = x : x : 2x
To distribute R500.00 between the three sons, we need to add up these ratios:
x + x + 2x = 500
Simplifying, we get:
4x = 500
Now we can solve for x by dividing both sides of the equation by 4:
x = 500 / 4
x = 125
This means the youngest son receives R125.
Using the ratio we created, we can find the amounts for the other sons easily:
Youngest son: x = R125
Second son: x = R125
Eldest son: 2x = 2 * 125 = R250
So, the youngest and second sons each receive R125, while the eldest son receives R250.
Let's start by assigning variables to represent the amount received by each son.
Let X represent the amount received by the youngest son.
Since the second son gets as much as the youngest son, the second son also receives X.
Since the eldest son gets twice as much as the second son, the eldest son receives 2X.
We know that the total amount distributed is R500.00, so we can set up the equation:
X + X + 2X = 500
Combining like terms, we get:
4X = 500
To solve for X, we divide both sides of the equation by 4:
X = 500/4
X = 125
Therefore, the amount received by the youngest son is R125.00.
The second son receives the same amount as the youngest son, so he also receives R125.00.
The eldest son receives twice as much as the second son, so he receives 2 * R125.00 = R250.00.
In summary, the youngest son receives R125.00, the second son receives R125.00, and the eldest son receives R250.00.