Answer:
The youngest child will receive $2000
Step-by-step explanation:
A father decided to give 25% of his monthly income to his three children as their monthly allowance.
The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:
100 - (45 + 20) = 100 - 65 = 35%
The second child received $3500.
Let the 25% of his monthly income be x.
Hence:
35% of x = 3500
=> [tex]\frac{35}{100} * x = 3500[/tex]
[tex]x = \frac{3500 * 100}{35}[/tex]
x = $10000
The amount the man shared among his children is $10000.
Hence, the youngest child (20%) will receive:
20% of $10000
[tex]\frac{20}{100} * 10000[/tex]
= $2000
The youngest child will receive $2000.