Question

Подрядчик поставил для войска 2500 лошадей. Для кавалерии 12/25 всех лошадей, для артиллерии 2/3 того , что для кавалерии , а для обоза 5/8 того , что для артиллерии . За лошадь для кавалерии ему заплатили 258 3/4 р., за лошадь для артиллерии 2/5 того, что за лошадь для кавалерии , а за лошадь для обоза 5/9 того, что за лошадь для артиллерии. Сколько получил он за всех лошадей , купленных для обоза?

Answer 1

To solve this problem, we need to calculate the total amount of money the contractor received for all the horses purchased for the supply train (oboz). Let's break down the given information step by step:

1. The contractor supplied 2500 horses for the army. 2. For the cavalry, 12/25 of all the horses were supplied. 3. For the artillery, 2/3 of what was supplied for the cavalry was provided. 4. For the supply train (oboz), 5/8 of what was supplied for the artillery was given.

Now, let's calculate the amount of money the contractor received for each type of horse:

1. For each horse supplied to the cavalry, the contractor received 258 3/4 rubles. 2. For each horse supplied to the artillery, the contractor received 2/5 of what was received for the cavalry horse. 3. For each horse supplied to the supply train (oboz), the contractor received 5/9 of what was received for the artillery horse.

To find the total amount received for all the horses purchased for the supply train, we need to multiply the number of horses supplied for the supply train by the amount received for each horse.

Let's calculate it step by step:

Calculation for the Cavalry Horses:

- Number of horses supplied for the cavalry: 12/25 * 2500 = 1200 horses - Amount received for each cavalry horse: 258 3/4 rubles

Total amount received for the cavalry horses: 1200 * 258 3/4 = 310,500 rubles [[1]].

Calculation for the Artillery Horses:

- Number of horses supplied for the artillery: 2/3 * (12/25 * 2500) = 640 horses - Amount received for each artillery horse: 2/5 * 258 3/4 rubles

Total amount received for the artillery horses: 640 * (2/5 * 258 3/4) = 107,520 rubles [[1]].

Calculation for the Supply Train (Oboz) Horses:

- Number of horses supplied for the supply train: 5/8 * (2/3 * (12/25 * 2500)) = 200 horses - Amount received for each supply train horse: 5/9 * (2/5 * 258 3/4) rubles

Total amount received for the supply train horses: 200 * (5/9 * (2/5 * 258 3/4)) = 23,000 rubles [[1]].

Therefore, the contractor received a total of 23,000 rubles for all the horses purchased for the supply train (oboz).

Please note that the calculations provided are based on the given information and may vary depending on the context or additional details.

Let me know if there's anything else I can help you with!