Question

Авто.волга без пассажиров на1,125т.тяжелее сидящих в ней пассажиров,а пассажиры в 6раз легче автомобиля. найти массу автомобиля и массу сидящих в ней пассажиров

Answer 1

П-x
6x=x+1,125
6x-x=1,125
5x=1,125:5
x=0,225(т)-пассажиры
0,225×6=1,35

Answer 2

Calculating the Weight of the Car and Passengers

To calculate the weight of the car and the passengers, we can use the given information that the car is 1,125 tons heavier without passengers and the passengers are 6 times lighter than the car.

Let's denote: - Wc as the weight of the car - Wp as the weight of the passengers

Given: - The car without passengers is 1,125 tons heavier than with passengers: Wc = Wp + 1,125 - The passengers are 6 times lighter than the car: Wp = 1/6 * Wc

Solving for the Weight of the Car and Passengers

We can solve these two equations simultaneously to find the weights of the car and the passengers.

Substituting the second equation into the first equation: Wc = (1/6 * Wc) + 1,125

Solving for Wc: Wc - (1/6 * Wc) = 1,125 5/6 * Wc = 1,125 Wc = 1,125 / (5/6) Wc = 1,350 tons

Now, we can calculate the weight of the passengers: Wp = 1/6 * 1,350 Wp = 225 tons

Conclusion

The weight of the car is 1,350 tons and the combined weight of the passengers is 225 tons.