Question

Помогите решить задачу уравнением с таблицей. За неделю переводчик перевел в 3 раза меньше страниц романа, чем ему осталось перевести. После того, как переводчик перевел еще 60 страниц, количество переведенных страниц сравнялось с количеством оставшихся. Сколько всего страниц в романе?

Answer 1

В романе x страниц. За неделю перевёл x:3 станиц. После этого перевел ещё 60 стр., всего x:3+60 стр. Это половина романа, т.е.
$\frac x3+60=\frac x2\;\;\;\times6\\2x+360=3x\\3x-2x=360\\x=360$
В романе 360 страниц.

Answer 2

Problem Analysis

To solve this problem, we need to set up an equation based on the given information and solve for the total number of pages in the novel. Let's break down the information provided:

- The translator translated 3 times fewer pages than what was left to be translated. - After translating an additional 60 pages, the number of translated pages became equal to the number of remaining pages.

We can represent the number of pages left to be translated as x. The number of pages translated by the translator would then be x/3. After translating an additional 60 pages, the number of translated pages becomes x/3 + 60. According to the problem, this is equal to the number of remaining pages, which is x.

Solution

To solve the equation, we can set up the following equation:

x/3 + 60 = x

To solve for x, we can multiply both sides of the equation by 3 to eliminate the fraction:

3(x/3 + 60) = 3x

Simplifying the equation:

x + 180 = 3x

Subtracting x from both sides:

180 = 2x

Dividing both sides by 2:

x = 90

Therefore, the total number of pages in the novel is 90.

Answer

The total number of pages in the novel is 90.