Question

Помогите пж!!! срочно!!даю 10 баллов!!!в пакете лежат мандарины. если раздавать их детям по 5 мандаринов каждому,то не хватит 2 мандаринов,а если раздавать по 4,то в пакете еще останется 17 мандаринов. сколько мандаринов в пакете?

Answer 1

Х - кол-во детей
5(х-2)=4х+17
5х-10=4х+17
5х-4х=17+10
х=27
5*(27-2)=125 мандарин в пакете

Answer 2

Problem Analysis

The problem states that there are mandarins in a bag. If each child receives 5 mandarins, there will be 2 mandarins left. However, if each child receives 4 mandarins, there will be 17 mandarins left in the bag. We need to determine the total number of mandarins in the bag.

Solution

Let's assume the total number of mandarins in the bag is x.

According to the problem, if each child receives 5 mandarins, there will be 2 mandarins left. This can be represented by the equation:

x % 5 = 2

Similarly, if each child receives 4 mandarins, there will be 17 mandarins left. This can be represented by the equation:

x % 4 = 17

We can solve these two equations simultaneously to find the value of x.

Solving the Equations

Let's solve the equations using a simple approach.

From the first equation, we have:

x % 5 = 2

This means that the remainder when x is divided by 5 is 2. We can rewrite this equation as:

x = 5a + 2 (where a is an integer)

Substituting this value of x into the second equation, we have:

5a + 2 % 4 = 17

Simplifying this equation, we get:

2a % 4 = 15

Since 2a is divisible by 4, we can rewrite this equation as:

2a = 15 + 4b (where b is an integer)

Simplifying further, we have:

2a = 15 + 4b a = 7 + 2b

Now, we can substitute the value of a back into the equation x = 5a + 2:

x = 5(7 + 2b) + 2 x = 35 + 10b + 2 x = 37 + 10b

So, the total number of mandarins in the bag, x, can be represented as 37 + 10b.

Finding the Value of x

To find the value of x, we need to determine the value of b.

From the problem statement, we know that if each child receives 4 mandarins, there will be 17 mandarins left. This can be represented by the equation:

x % 4 = 17

Substituting the expression for x we derived earlier, we have:

(37 + 10b) % 4 = 17

Simplifying this equation, we get:

1 + 2b % 4 = 17

Since 2b is divisible by 4, we can rewrite this equation as:

2b = 16 + 4c (where c is an integer)

Simplifying further, we have:

2b = 16 + 4c b = 8 + 2c

Now, we can substitute the value of b back into the expression for x:

x = 37 + 10(8 + 2c) x = 37 + 80 + 20c x = 117 + 20c

So, the total number of mandarins in the bag, x, can be represented as 117 + 20c.

Conclusion

In conclusion, the total number of mandarins in the bag can be represented as 117 + 20c, where c is an integer. The specific value of c cannot be determined without additional information.

Please note that the solution provided is based on the information given in the problem statement. If there are any additional constraints or details, the solution may need to be adjusted accordingly.