Question

Вера набрала на компьютере 0,6 рукописи. Набрав еще 15 страниц, она заметила, что выполнила 0,725 всей работы. Сколько страниц должна была набрать Вера на компьютере?

Answer 1

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Answer 2

Problem Analysis

Vera initially typed 0.6 of the manuscript on the computer. After typing an additional 15 pages, she noticed that she had completed 0.725 of the entire work. We need to determine how many pages Vera should have typed on the computer.

Solution

Let's assume that the total number of pages Vera should have typed is represented by x.

According to the given information: - Vera initially typed 0.6 of the manuscript on the computer, which is equal to 0.6x pages. - After typing an additional 15 pages, she noticed that she had completed 0.725 of the entire work, which is equal to 0.725x pages.

To find the value of x, we can set up the following equation:

0.6x + 15 = 0.725x

Now, let's solve this equation to find the value of x.

0.6x + 15 = 0.725x (subtract 0.6x from both sides) 15 = 0.125x (divide both sides by 0.125) x = 15 / 0.125 x = 120

Therefore, Vera should have typed 120 pages on the computer.

Answer

Vera should have typed 120 pages on the computer.

Verification

To verify the answer, let's substitute the value of x into the equation:

0.6(120) + 15 = 0.725(120) 72 + 15 = 87

The equation holds true, confirming that Vera should have typed 120 pages on the computer.