Question

Один человек пришёл в торговый ряд купил игрушек для малышей : за первую игрушку 1/9 часть всех своих денег , за другую 3/7 остатка от первой покупки , за третью игрушку заплатил 3/5 остатка от второй покупки ;а по приезде в дом нашёл остальных в кошельке денег 1,92 рублей .Спрашивается: сколько в кошельке денег было и сколько за которую игрушку заплатили ? СРОЧНО !!!

Answer 1

Х-было денег
1 игрушка х/9
2 игрушка (х-х/9)*3/7=8х/21
3 игрушка (8х/9-8х/21)*3/5=32х/105
осталось 1,92р
х-х/9-8х/21-32х/105=1б92
х*(315-35-40-96)/315=1,92
16х/35=1,92
х=1,92*35/16
х=4,2р было
1 игрушка 4,2*1/9=21/45р
2 игрушка 4,2*8/21=1,6р
3 игрушка 4,2*32/105=1344/1050=224/175р

Answer 2

Problem Analysis

A person came to a shopping mall and bought three toys for children. They paid a fraction of their money for each toy. The remaining money in their wallet was 1.92 rubles. The question is how much money was in the wallet and how much was paid for each toy.

Solution

Let's solve this problem step by step.

1. Let's assume the total amount of money in the wallet is x rubles. 2. The person bought the first toy for 1/9 of their total money, which is x/9 rubles. 3. After buying the first toy, the person had 8/9 of their money left in the wallet. 4. The person then bought the second toy for 3/7 of the remaining money from the first purchase. The amount paid for the second toy is (8/9) * (3/7) * x = 24x/63 rubles. 5. After buying the second toy, the person had (8/9) * (4/7) * x = 32x/63 rubles left in the wallet. 6. Finally, the person bought the third toy for 3/5 of the remaining money from the second purchase. The amount paid for the third toy is (32x/63) * (3/5) = 96x/315 rubles. 7. After buying the third toy, the person had (32x/63) * (2/5) = 64x/315 rubles left in the wallet. 8. The remaining money in the wallet is given as 1.92 rubles, so we can set up the equation: 64x/315 = 1.92. 9. Solving this equation will give us the value of x, which represents the total amount of money in the wallet. 10. Once we have the value of x, we can calculate the amount paid for each toy using the formulas mentioned above.

Let's solve the equation to find the value of x.

Calculation

To solve the equation 64x/315 = 1.92 for x, we can multiply both sides of the equation by 315 to eliminate the denominator:

64x = 1.92 * 315

Now, divide both sides of the equation by 64 to solve for x:

x = (1.92 * 315) / 64

Using a calculator, we find that x is approximately 9.45 rubles.

Now that we have the value of x, we can calculate the amount paid for each toy.

The amount paid for the first toy is x/9 = 9.45/9 = 1.05 rubles.

The amount paid for the second toy is 24x/63 = (24 * 9.45) / 63 = 3.6 rubles.

The amount paid for the third toy is 96x/315 = (96 * 9.45) / 315 = 2.88 rubles.

Answer

The total amount of money in the wallet was approximately 9.45 rubles. The person paid 1.05 rubles for the first toy, 3.6 rubles for the second toy, and 2.88 rubles for the third toy.

Please note that the calculations are approximate due to rounding.

I hope this helps! Let me know if you have any further questions.

Answer 3

Problem Analysis

A person came to a shopping mall and bought three toys for children. The person paid 1/9 of their total money for the first toy, 3/7 of the remaining money from the first purchase for the second toy, and 3/5 of the remaining money from the second purchase for the third toy. Upon returning home, the person found 1.92 rubles in their wallet. We need to determine how much money was initially in the wallet and how much was paid for each toy.

Solution

Let's assume that the initial amount of money in the wallet is x rubles.

For the first toy, the person paid 1/9 of their total money, which is (1/9) * x rubles.

After the first purchase, the person has (8/9) * x rubles remaining in their wallet.

For the second toy, the person paid 3/7 of the remaining money from the first purchase, which is (3/7) * (8/9) * x rubles.

After the second purchase, the person has (4/9) * (8/9) * x rubles remaining in their wallet.

For the third toy, the person paid 3/5 of the remaining money from the second purchase, which is (3/5) * (4/9) * (8/9) * x rubles.

After the third purchase, the person has (2/9) * (4/9) * (8/9) * x rubles remaining in their wallet.

According to the problem, the person found 1.92 rubles in their wallet after returning home. Therefore, we can set up the following equation:

(2/9) * (4/9) * (8/9) * x = 1.92

Now we can solve this equation to find the value of x.

Calculation

Let's calculate the value of x using the equation:

(2/9) * (4/9) * (8/9) * x = 1.92

Simplifying