Question

Мальчик и девочка рвали в лесу орехи.Всего они сорвали 120орехов. Девочка сорвала в 2 раза меньше мальчикаю. Сколько орехов было у мальчика и сколько у девочки? б) Девочка прочитала в 3 раза меньше страниц чем ей осталось прочитать. Всего в книге 176 страниц. Сколько страниц прочитала девочка?

Answer 1

Problem 1: Мальчик и девочка рвали в лесу орехи

To solve this problem, we need to determine the number of nuts the boy and the girl collected in the forest. Let's break down the information given:

- The total number of nuts collected is 120. - The girl collected twice as few nuts as the boy.

Let's denote the number of nuts collected by the boy as B and the number of nuts collected by the girl as G.

From the given information, we can set up the following equations:

1. The total number of nuts collected: B + G = 120. 2. The girl collected twice as few nuts as the boy: G = (1/2)B.

To solve this system of equations, we can substitute the value of G from equation 2 into equation 1:

B + (1/2)B = 120.

Combining like terms, we get:

(3/2)B = 120.

To solve for B, we can multiply both sides of the equation by (2/3):

B = (2/3) * 120.

Evaluating the expression, we find:

B = 80.

Now, we can substitute the value of B into equation 2 to find G:

G = (1/2) * 80.

Evaluating the expression, we find:

G = 40.

Therefore, the boy collected 80 nuts, and the girl collected 40 nuts.

Problem 2: Девочка прочитала в 3 раза меньше страниц, чем ей осталось прочитать

To solve this problem, we need to determine the number of pages the girl read. Let's break down the information given:

- The total number of pages in the book is 176. - The girl read three times fewer pages than the number of pages she has left to read.

Let's denote the number of pages the girl read as R.

From the given information, we can set up the following equation:

1. The girl read three times fewer pages than the number of pages she has left to read: R = (1/3)(176 - R).

To solve this equation, we can simplify it:

3R = 176 - R.

Combining like terms, we get:

4R = 176.

To solve for R, we can divide both sides of the equation by 4:

R = 176 / 4.

Evaluating the expression, we find:

R = 44.

Therefore, the girl read 44 pages.