
волейбольный и футбольный мячи весят вместе 800граммов,футбольный и баскетбольный 950 граммов,
волейбольный и баскетбольный 1050 граммов. Сколько весит каждый мяч в отдельности?

Ответы на вопрос

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Let's assume the weight of the volleyball ball is "v" grams, the weight of the football ball is "f" grams, and the weight of the basketball ball is "b" grams.
From the given information, we have three equations:
- v + f = 800 (volleyball and football balls together weigh 800 grams)
- f + b = 950 (football and basketball balls together weigh 950 grams)
- v + b = 1050 (volleyball and basketball balls together weigh 1050 grams)
Now, we can solve these equations to find the weights of each ball.
To do that, let's subtract equation 1 from equation 3:
(v + b) - (v + f) = 1050 - 800
Simplifying, we get:
b - f = 250 -----> Equation A
Next, let's subtract equation 1 from equation 2:
(f + b) - (v + f) = 950 - 800
Simplifying, we get:
b - v = 150 -----> Equation B
Now, we have two equations (A and B) with two unknowns (b and f).
Adding Equation A and Equation B together, we get:
(b - f) + (b - v) = 250 + 150
Simplifying, we get:
2b = 400
Now, divide by 2 to find the value of "b":
b = 200 grams
Now that we know the weight of the basketball ball, we can find the weight of the football ball using Equation B:
b - v = 150
Substitute the value of "b" (200 grams) into the equation:
200 - v = 150
Now, solve for "v":
v = 200 - 150 = 50 grams
Finally, we can find the weight of the volleyball ball using Equation 1:
v + f = 800
Substitute the value of "v" (50 grams) into the equation:
50 + f = 800
Now, solve for "f":
f = 800 - 50 = 750 grams
So, each ball weighs:
Volleyball ball: 50 grams Football ball: 750 grams Basketball ball: 200 grams


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