Question

При разделе банковского счета две трети отошла мужу, четверть жене, а оставшиеся 5000 рублей на подарки. Сколько тысяч рублей было на счёте?

Answer 1

X-количество денег на счёте. составляем уравнение: 2/3x+1/4x+5000=x;  8x+3x+60000=12x; 8x+3x-12x= -60000; -x= - 60000; x=(-60000)/(-10=60000(руб). Ответ : не счёте было 60000 рублей.

Answer 2

Calculating the Amount on the Bank Account

To calculate the amount on the bank account, we can use the information provided. According to the given information, two-thirds of the amount went to the husband, a quarter to the wife, and the remaining 5000 rubles were spent on gifts.

Calculation

Let's denote the total amount on the bank account as X.

- The husband received 2/3 of X. - The wife received 1/4 of X. - The remaining amount after these two distributions is 5000 rubles.

We can set up the following equation to represent the given information: 2/3X + 1/4X + 5000 = X

Solving for X

To solve for X, we can first find a common denominator for 2/3 and 1/4, which is 12. Then we can rewrite the fractions with the common denominator and solve for X.

2/3X + 1/4X = 12/12 * 2/3X + 12/12 * 1/4X = 8/12X + 3/12X = 11/12X

So, the equation becomes: 11/12X + 5000 = X

Subtracting 11/12X from both sides: 5000 = X - 11/12X 5000 = 1/12X

Multiplying both sides by 12: 12 * 5000 = X 60000 = X

Answer

Therefore, the total amount on the bank account was 60,000 rubles.