Question

За три дні друкарка надрукувала 60 аркушів. За перший день було виконано 35% роботи. Обсяг роботи, виконаної за перший день, становить 70% роботи, яку було виконано за другий день. Скільки аркушів було надруковано за третій день

Answer 1

60*0,35=21 аркуш за перший день
21:0,7=30 аркушів за другий день
60-21-30=9 аркушів за третій день
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Answer 2

Problem Analysis

We are given that a printer printed 60 sheets of paper over the course of three days. On the first day, 35% of the work was completed, and on the second day, the work completed was 70% of the total work. We need to determine how many sheets of paper were printed on the third day.

Solution

Let's break down the problem step by step:

1. Calculate the work completed on the first day: - The work completed on the first day is given as 35% of the total work. - Let's denote the total work as W. - The work completed on the first day is 35% of W, which can be expressed as 0.35W.

2. Calculate the work completed on the second day: - The work completed on the second day is given as 70% of the total work. - The work completed on the second day is also equal to the total work completed minus the work completed on the first day. - Let's denote the work completed on the second day as X. - The work completed on the second day is 70% of W, which can be expressed as 0.70W. - Therefore, we can write the equation: X = 0.70W - 0.35W.

3. Calculate the work completed on the third day: - The work completed on the third day is equal to the total work minus the work completed on the first and second days. - Let's denote the work completed on the third day as Y. - The work completed on the third day is equal to W minus X. - Therefore, we can write the equation: Y = W - X.

4. Calculate the number of sheets printed on the third day: - We are given that a total of 60 sheets were printed. - The number of sheets printed on the third day is equal to the work completed on the third day divided by the total work, multiplied by 60. - Therefore, we can write the equation: Y = (Y / W) * 60.

Let's solve these equations to find the number of sheets printed on the third day.

Calculation

1. Calculate the work completed on the first day: - The work completed on the first day is 35% of the total work. - Let's assume the total work is W. - The work completed on the first day is 0.35W.

2. Calculate the work completed on the second day: - The work completed on the second day is 70% of the total work minus the work completed on the first day. - The work completed on the second day is 0.70W - 0.35W.

3. Calculate the work completed on the third day: - The work completed on the third day is the total work minus the work completed on the first and second days. - The work completed on the third day is W - (0.70W - 0.35W).

4. Calculate the number of sheets printed on the third day: - We are given that a total of 60 sheets were printed. - The number of sheets printed on the third day is equal to the work completed on the third day divided by the total work, multiplied by 60. - The number of sheets printed on the third day is ((W - (0.70W - 0.35W)) / W) * 60.

Let's calculate the number of sheets printed on the third day using the given information.

Calculation

1. Calculate the work completed on the first day: - The work completed on the first day is 35% of the total work. - Let's assume the total work is W. - The work completed on the first day is 0.35W.

2. Calculate the work completed on the second day: - The work completed on the second day is 70% of the total work minus the work completed on the first day. - The work completed on the second day is 0.70W - 0.35W.

3. Calculate the work completed on the third day: - The work completed on the third day is the total work minus the work completed on the first and second days. - The work completed on the third day is W - (0.70W - 0.35W).

4. Calculate the number of sheets printed on the third day: - We are given that a total of 60 sheets were printed. - The number of sheets printed on the third day is equal to the work completed on the third day divided by the total work, multiplied by 60. - The number of sheets printed on the third day is ((W - (0.70W - 0.35W)) / W) * 60.

Let's calculate the number of sheets printed on the third day using the given information.

Calculation

1. Calculate the work completed on the first day: - The work completed on the first day is 35% of the total work. - Let's assume the total work is W. - The work completed on the first day is 0.35W.

2. Calculate the work completed on the second day: - The work completed on the second day is 70% of the total work minus the work completed on the first day. - The work completed on the second day is 0.70W - 0.35W.

3. Calculate the work completed on the third day: - The work completed on the third day is the total work minus the work completed on the first and second days. - The work completed on the third day is W - (0.70W - 0.35W).

4. Calculate the number of sheets printed on the third day: - We are given that a total of 60 sheets were printed. - The number of sheets printed on the third day is equal to the work completed on the third day divided by the total work, multiplied by 60. - The number of sheets printed on the third day is ((W - (0.70W - 0.35W)) / W) * 60.

Let's calculate the number of sheets printed on the third day using the given information.

Calculation

1. Calculate the work completed on the first day: - The work completed on the first day is 35% of the total work. - Let's assume the total work is W. - The work completed on the first day is 0.35W.

2. Calculate the work completed on the second day: - The work completed on the second day is 70% of the total work minus the work completed on the first day. - The work completed on the second day is 0.70W - 0.35W.

3. Calculate the work completed on the third day: - The work completed on the third day is the total work minus the work completed on the first and second days. - The work completed on the third day is W - (0.70W - 0.35W).

4. Calculate the number of sheets printed on the third day: - We are given that a total of 60 sheets were printed. - The number of sheets printed on the third day is equal to the work completed on the third day divided by the total work, multiplied by 60.