Question

В оздоровительном лагере 364 человека.Мальчиков на 20 больше,чем девочек.Девочек разместили в комнаты по 4 человека,а мальчиков по 6 человек.Сколько комнат потребовалось,чтобы разместить всех детей.Учитель сказал задача в 6 действий

Answer 1

X+20+x=364
2x+20=364
2x=364-20
2x=344
x=344/2
x=172 (дев) 172+20=192 (маль)
172:4+192:6=75 (ком)

Answer 2

Problem Analysis

We are given that there are 364 children in a health camp, with the number of boys exceeding the number of girls by 20. The girls are accommodated in rooms of 4, while the boys are accommodated in rooms of 6. We need to determine how many rooms are required to accommodate all the children.

Solution

To solve this problem, we can follow these steps:

Step 1: Let's assume the number of girls is x. Since the number of boys is 20 more than the number of girls, the number of boys can be represented as x + 20.

Step 2: We know that the girls are accommodated in rooms of 4, so the number of rooms required for girls can be calculated by dividing the number of girls by 4 and rounding up to the nearest whole number. This can be represented as ceil(x / 4).

Step 3: Similarly, the number of rooms required for boys can be calculated by dividing the number of boys by 6 and rounding up to the nearest whole number. This can be represented as ceil((x + 20) / 6).

Step 4: The total number of rooms required will be the sum of the number of rooms required for girls and boys. This can be represented as ceil(x / 4) + ceil((x + 20) / 6).

Step 5: We can solve this equation to find the value of x, which represents the number of girls.

Step 6: Once we know the number of girls, we can calculate the number of boys by adding 20 to x.

Now, let's solve the problem using the above steps.

Step 1: Let's assume the number of girls is x. So, the number of boys is x + 20.

Step 2: The number of rooms required for girls is ceil(x / 4).

Step 3: The number of rooms required for boys is ceil((x + 20) / 6).

Step 4: The total number of rooms required is ceil(x / 4) + ceil((x + 20) / 6).

Step 5: Solve the equation ceil(x / 4) + ceil((x + 20) / 6) = 364 to find the value of x.

Step 6: Once we know the value of x, we can calculate the number of boys by adding 20 to x.

Let's solve the equation in the next section.