Question

В детский дом привезли шоколад. если каждому ребёнку дать по три плитки шоколада, то останется 24, а если дать по четыре плитки то не хватит 28. сколько детей в детском доме и сколько шоколада привезли? задача решается с помощью уравнения

Answer 1

24(x+3)=28(x-4);
24x+72=28x-112;
24x-28x=-72-112;
-4x=-184;
x=-184:(-4);
x=46
Ответ: 46 детей

Answer 2

Problem Analysis

We are given that a certain number of chocolate bars were brought to a children's home. If each child is given three bars, there will be 24 bars left. However, if each child is given four bars, there will be a shortage of 28 bars. We need to determine the number of children in the children's home and the total number of chocolate bars brought.

Solution

Let's assume the number of children in the children's home is x and the total number of chocolate bars brought is y.

According to the problem, if each child is given three bars, there will be 24 bars left. This can be represented by the equation:

3x + 24 = y (Equation 1)

Similarly, if each child is given four bars, there will be a shortage of 28 bars. This can be represented by the equation:

4x - 28 = y (Equation 2)

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method.

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

y = 3x + 24 (Equation 3)

Substituting Equation 3 into Equation 2, we get:

4x - 28 = 3x + 24

Simplifying the equation:

x = 52

Now, substituting the value of x back into Equation 3, we can find y:

y = 3(52) + 24

Simplifying the equation:

y = 156 + 24

y = 180

Therefore, there are 52 children in the children's home and a total of 180 chocolate bars were brought.

Answer

There are 52 children in the children's home and a total of 180 chocolate bars were brought.