Question

Два товарных поезда доставили 1824 т минеральных удобрений . В одном поезде было 24 вагона ,в другом - 33 вагона. Сколько тонн минеральных удобрений доставил каждый поезд?

Answer 1

В одном вагоне 1824:(24+33)=608:(8+11)=608:19=32 т
Один поезд 32*33=990+66=1056 т
В другом 1824-1056=768 т

Answer 2

To solve this problem, we can set up a system of equations based on the information given in the problem.

Let's assume the amount of mineral fertilizers delivered by the first train (with 24 wagons) is x tons, and the amount delivered by the second train (with 33 wagons) is y tons.

We know that the sum of the two amounts is 1824 tons:

x + y = 1824 ...........(Equation 1)

We also know that the first train delivered x tons, and since it had 24 wagons, each wagon would carry x/24 tons.

Similarly, the second train delivered y tons, and with 33 wagons, each wagon would carry y/33 tons.

The total number of wagons worth of mineral fertilizers from both trains equals the total number of wagons:

x/24 + y/33 = 24 + 33 = 57

Now, we have the second equation:

x/24 + y/33 = 57 ...........(Equation 2)

Now we have a system of two equations (Equation 1 and Equation 2) with two unknowns (x and y). We can solve this system to find the values of x and y.

To do so, you can use any suitable method like substitution or elimination. Here, I'll use the substitution method.

From Equation 1, we can rewrite y in terms of x:

y = 1824 - x

Now substitute this value of y into Equation 2:

x/24 + (1824 - x)/33 = 57

Now, solve for x:

33x + 24(1824 - x) = 57 * 24 * 33

33x + 43776 - 24x = 44928

9x = 1152

x = 1152 / 9

x = 128

Now, we can find y using the value of x in Equation 1:

y = 1824 - 128

y = 1696

So, the first train delivered 128 tons of mineral fertilizers, and the second train delivered 1696 tons.