Question

Студент получил стипендию 600р. купюрами достоинством 50р. и 10.- всего 24 купюры. Сколько было выдано студенту 50- рублёвых и 10- рублевых купюр в отдельности?

Answer 1

1) 10 * 24 = 240 р в 24 купюрах достоинством 10 руб каждая 
2) 600 - 240 = 360 р - это остаток для 50- рублёвых купюр, в этом остатке теперь содержится по 40 рублей с каждой 
3) 360 : 40 = 9 купюр по 50 рублей 
4) 24 - 9 = 15 купюр по 10 рублей 
2 способ
х купюр по 10 рублей
(24 - х) купюр по 50 рублей 
Уравнение
10х + 50*(24 - х) = 600 
10х + 1200 - 50х = 600 
50х - 10х = 1200 - 600 
40х = 600 
 х = 600 : 40
х = 15 купюр по 10 руб 
24 - 15 = 9 купюр по 50 руб

Answer 2

Problem Analysis

A student received a scholarship of 600 rubles in the form of 50-ruble and 10-ruble banknotes. The total number of banknotes given to the student was 24. We need to determine how many 50-ruble and 10-ruble banknotes were given separately.

Solution

Let's assume the number of 50-ruble banknotes given to the student is 'x', and the number of 10-ruble banknotes given is 'y'. We can set up the following equations based on the given information:

1. The total value of the banknotes given is 600 rubles: 50x + 10y = 600

2. The total number of banknotes given is 24: x + y = 24

We can solve this system of equations to find the values of 'x' and 'y'.

Solving the Equations

We can use substitution or elimination method to solve the system of equations. Let's use the elimination method:

Multiply equation 2 by 10 to make the coefficients of 'y' in both equations the same: 10x + 10y = 240

Now subtract equation 1 from the modified equation 2: (10x + 10y) - (50x + 10y) = 240 - 600 -40x = -360 x = 9

Substitute the value of 'x' back into equation 2 to find 'y': 9 + y = 24 y = 24 - 9 y = 15

Answer

Therefore, the student was given 9 banknotes of 50 rubles and 15 banknotes of 10 rubles separately.

Note: The solution provided above is based on the given information and the assumption that the student received only 50-ruble and 10-ruble banknotes. If there were other denominations involved, the solution would be different.