Question

Фёдоров , иванов и петров выиграли вместе в лотерею 1800 р. Выигрыш Иванова составлял 64% выигрыша фёдорова , а выигрыш петрова 76% выигрыша фёдорова .Сколько рублей составлял выигрыш каждого из них?

Answer 1

Пусть х- выиграл Федоров Тогда- 0,64х выиграл Иванов Отсюда 0,76х - Петров 1) Можно составить и решить уравнение: х+0,64х+0,76х=1800 2,4х=1800 х=1800:2,4 х=750(руб.)- Федоров 2) 750*0,64=480руб. Иванов 3) 750*0,76=570 рублей Петров

Answer 2

Calculation of Winnings

To calculate the winnings of each person, we need to determine the total amount won in the lottery and then divide it based on the given percentages.

Let's assume that the total winnings in the lottery were 1800 rubles.

According to the information provided, Ivanov's winnings were 64% of Fyodorov's winnings, and Petrov's winnings were 76% of Fyodorov's winnings.

To find the winnings of each person, we can use the following equations:

- Ivanov's winnings = (64/100) * Fyodorov's winnings - Petrov's winnings = (76/100) * Fyodorov's winnings

Let's calculate the winnings for each person:

- Ivanov's winnings = (64/100) * Fyodorov's winnings = (64/100) * X - Petrov's winnings = (76/100) * Fyodorov's winnings = (76/100) * X

Here, X represents Fyodorov's winnings.

To find the value of X, we can set up the following equation:

- X + (64/100) * X + (76/100) * X = 1800

Simplifying the equation:

- X + 0.64X + 0.76X = 1800 - 2.4X = 1800 - X = 1800 / 2.4 - X = 750

Now, we can substitute the value of X back into the equations to find the winnings for each person:

- Ivanov's winnings = (64/100) * 750 = 480 rubles - Petrov's winnings = (76/100) * 750 = 570 rubles

Therefore, Ivanov's winnings amounted to 480 rubles, and Petrov's winnings amounted to 570 rubles.

Note: The calculations above are based on the given percentages and the assumption that the total winnings in the lottery were 1800 rubles.