## This morning, Jim had half as much money as his brother and $27 dollars less than his sister. Then his brother paid Jim and his sister each Question This morning, Jim had half as much money as his brother and$27 dollars less than his sister. Then his brother paid Jim and his sister each $12 dollars to take the dogs out for a walk. After the payoff, Jim’s brother had half as much money as Jim’s sister. How much money does Jim have now? in progress 0 2 weeks 2021-11-21T11:40:01+00:00 2 Answers 0 ## Answers ( ) 1. Answer: Jim has$37.67

Step-by-step explanation:

Let in the morning Jim had $x, his brother had$y and his sister had $z. Jim had half as much money as his brother. So, …….. (1) And Jim had$27 less than his sister.

So, x = z – 27 …….. (2) {From equation (1)}

⇒ y = 2z – 54

2z – y =54 ……….(3)

Now, his brother paid Jim and his sister each $12. Therefore, now, Jim has$(x + 12), his brother has $(y -24) and his sister has$(z + 12).

Given that after payoff, Jim’s brother has half as much money as Jim’s sister.

So, ⇒ z + 12 = 2y – 48

2y – z = 50 ……… (4)

Now, solving equations (3) and (4), we get

3y = 54 + 100 = 154

⇒ y =  51.33.

Now, from equation (3),we have z = 52.67

And from equation (1), So, now, Jim has (25.67 + 12) = $37.67 (Answer) 2. Answer:$29

Step-by-step explanation:

By running through the question we find,

i. Jim = Brother/2

ii. Jim = Sister – 27

iii. Jim = Jim + 12

iv. Sister = Sister + 12

v. Brother – 24 = Sister + 12/2

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By looking at above equations we know that,

Jim = Sister – 27

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where from equation iii and iv, Jim = Jim + 12 and Sister = Sister + 12

Jim + 12 = Sister + 12 – 27

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where, from equation v, Brother – 24 = Sister + 12/2 => Sister + 12 = 2(Brother – 24)

Jim + 12 = 2(Brother -24) – 27

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where from equation i, Jim = Brother/2 => Brother = 2*Jim

Jim + 12 = 2(2*Jim – 24) – 27

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Hence,

Jim + 12 = 4*Jim – 48 – 27

Jim + 12 = 4*Jim – 75

Jim – 4*Jim + 12 = -75

Jim – 4*Jim = -75 – 12

Jim(1 – 4) = -87

Jim(-3) = -87

Jim = -87/-3

Jim = 29