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An inheritance of $ 210,000 is to be divided among Chris, Kelly, and Julie in the following manner: Kelly is to receive 3/5 of what Chris gets, while Julie gets 1/2 of what Chris gets. How much does Kelly receive?

User Gcb
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1 Answer

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Final answer:

To determine how much Kelly receives, we need to first calculate the amount Chris receives. Let's assign a variable to Chris' share, x. According to the given information, Kelly receives 3/5 of what Chris gets, and Julie receives 1/2 of what Chris gets. Setting up an equation will allow us to solve for Chris' share and then calculate Kelly's share accordingly.

Step-by-step explanation:

To determine how much Kelly receives, we need to calculate the amount Chris receives first. Let's assign a variable to Chris' share, let's say x. According to the given information, Kelly receives 3/5 of what Chris gets, so her share would be (3/5)x. Similarly, Julie receives 1/2 of what Chris gets, so her share would be (1/2)x.

Since the three shares must add up to $210,000, we can set up an equation:

x + (3/5)x + (1/2)x = 210,000

Simplifying the equation, we get:

(5/5)x + (3/5)x + (1/2)x = 210,000

(15/10)x + (6/10)x + (5/10)x = 210,000

(26/10)x = 210,000

Multiplying both sides by 10/26, we get:

x = 10/26 * 210,000

x = 80,769.23

So, Chris receives $80,769.23. Now let's calculate how much Kelly receives:

(3/5) * 80,769.23 = $48,461.54

Therefore, Kelly receives $48,461.54.

User Houari
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