Question

An inheritance of $2,200,000 is to be divided among Scott, Allis, and Trisha in the following manner: Allis is to receive 10/11 of what Sky gets, while Trisha gets 1/11 of what Scott gets. How much does each receive?

a) Scott receives $800,000, Allis receives $2,000,000, and Trisha receives $200,000.
b) Scott receives $1,000,000, Allis receives $1,000,000, and Trisha receives $200,000.
c) Scott receives $1,000,000, Allis receives $2,000,000, and Trisha receives $100,000.
d) Scott receives $1,200,000, Allis receives $1,000,000, and Trisha receives $200,000.

Answer 1

After calculating the shares of an inheritance based on the given proportions, Scott receives $1,000,000, Allis receives approximately $909,091, and Trisha receives approximately $90,909. The options provided in the question do not match these amounts.

Step-by-step explanation:

The question deals with dividing an inheritance of $2,200,000 among three people with given conditions. First, let's denote Scott's share as S. According to the problem, Allis receives 10/11 of what Scott gets, so Allis's share is 10/11 × S. Trisha gets 1/11 of what Scott gets, so Trisha's share is 1/11 × S. Together, the sum of their shares must equal the total inheritance:

S + 10/11 × S + 1/11 × S = $2,200,000

By combining like terms, we get:

1×S + 10/11×S + 1/11×S which simplifies to 22/11×S because (10 + 1)/11 is 1, and 1 + 1 is 2, which gives us 22/11×S.

So 22/11×S = $2,200,000. Dividing both sides by 22/11 gives us S = $1,000,000. Applying the distribution rule:

• Scott receives $1,000,000
• Allis receives 10/11 × $1,000,000 = $909,090.91 (approximately $909,091)
• Trisha receives 1/11 × $1,000,000 = $90,909.09 (approximately $90,909)

None of the provided options match these calculations, suggesting an error in the options given, or a typo in the question.