Question

Котёнок Гав и Щенок Шарик нашли сосиску и схватили её зубами одновременно с двух сторон.Если Шарик откусит свой кусок и уйдёт Гаву достанется на 22 грамма больше чем Шарику.Если Гав откусит свой и уйдёт Шарику достанется на 29 грамм больше чем Гаву.Сколько грамм сосиски останется если оба откусят свои куски и уйдут?

Answer 1

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Answer 2

Problem Analysis

The problem involves a kitten named Gav and a puppy named Sharik finding a sausage and grabbing it with their teeth simultaneously from two sides. It also provides information about the weight difference between Gav and Sharik after each of them takes a bite and leaves. The task is to determine the weight of the sausage that remains after both Gav and Sharik take their bites and leave.

Solution

Let's denote the weight of the whole sausage as S grams. After Sharik takes a bite and leaves, Gav will have S + 22 grams, and after Gav takes a bite and leaves, Sharik will have S + 29 grams. We can set up a system of equations to solve for the weight of the sausage.

1. S + 22 = S - x (Gav's weight after Sharik's bite) 2. S + 29 = S - y (Sharik's weight after Gav's bite)

Where x is the weight of the sausage that Sharik bites off, and y is the weight of the sausage that Gav bites off.

Equation Solving

Solving the system of equations: 1. S + 22 = S - x - 22 = -x - x = -22

2. S + 29 = S - y - 29 = -y - y = -29

Final Calculation

Since the weights cannot be negative, we need to take the absolute values of x and y to find the weights of the bites. Then, we can calculate the weight of the remaining sausage: Remaining weight = S - |x| - |y|

Result

The weight of the sausage that remains after both Gav and Sharik take their bites and leave is S - 22 - 29 = S - 51 grams.

Therefore, the remaining weight of the sausage is 51 grams.