Question

Реши задачу разными способами.дизайнер изготовил 56 подвесок для платья за 14 дней.за сколько дней он сможет изготовить ещё 28 таких подвесок

Answer 1

1.
1 ) 56 : 14 = 4 подвески он делает за 1 день
2 ) 28 : 4 = 7 дней
2.
56 \ 14 = 28 \ х
( 14 * 28 ) : 56= 7 дней

Answer 2

Task:

The designer made 56 dress hangers in 14 days. We need to calculate how many days it will take for the designer to make an additional 28 dress hangers.

Solution 1: Using Proportions

We can use proportions to solve this problem. The number of days it takes to make the hangers is inversely proportional to the number of hangers made.

Let's set up the proportion: - 56 hangers are made in 14 days. - We need to find out how many days it will take to make 28 hangers.

Using the proportion: - 56 hangers / 14 days = 28 hangers / x days

Solving for x (the number of days): - 56 * x = 14 * 28 - x = (14 * 28) / 56 - x = 7 days

So, the designer will be able to make an additional 28 dress hangers in 7 days.

Solution 2: Using Ratios

Another way to solve this problem is by using ratios. We can find the ratio of hangers made to the number of days taken and then use this ratio to calculate the number of days needed for 28 hangers.

The ratio of hangers made to the number of days taken is: - 56 hangers / 14 days = 4 hangers/day

Using this ratio, we can calculate the number of days needed for 28 hangers: - 28 hangers / 4 hangers/day = 7 days

So, the designer will be able to make an additional 28 dress hangers in 7 days.

Both methods yield the same result, which is 7 days.

Answer 3

Problem Analysis

The problem states that a designer made 56 dress pendants in 14 days and asks how many more pendants the designer can make in a certain number of days. To solve this problem, we can use the concept of proportionality.

Solution 1: Proportional Method

We can set up a proportion to solve this problem. Let's assume that the number of pendants made is directly proportional to the number of days taken. We can set up the proportion as follows:

56 pendants / 14 days = x pendants / y days

To find the value of y (the number of days required to make 28 pendants), we can cross-multiply and solve for y:

56 * y = 14 * 28

Simplifying the equation:

56y = 392

Dividing both sides by 56:

y = 392 / 56

Simplifying further:

y = 7

Therefore, the designer will be able to make 28 more pendants in 7 days.

Solution 2: Unitary Method

Another way to solve this problem is by using the unitary method. We can find the number of pendants made in one day and then use that information to find the number of days required to make 28 pendants.

The designer made 56 pendants in 14 days, so the number of pendants made in one day is:

56 pendants / 14 days = 4 pendants/day

To find the number of days required to make 28 pendants, we can set up the following equation:

4 pendants/day = 28 pendants / x days

Cross-multiplying and solving for x:

4x = 28

Dividing both sides by 4:

x = 28 / 4

Simplifying further:

x = 7

Therefore, the designer will be able to make 28 more pendants in 7 days.

Solution 3: Division Method

We can also solve this problem by dividing the total number of pendants by the number of pendants made in a day.

The designer made 56 pendants in 14 days, so the number of pendants made in one day is:

56 pendants / 14 days = 4 pendants/day

To find the number of days required to make 28 pendants, we can divide the total number of pendants by the number of pendants made in a day:

28 pendants / 4 pendants/day = 7 days

Therefore, the designer will be able to make 28 more pendants in 7 days.

Conclusion

In conclusion, the designer will be able to make 28 more dress pendants in 7 days, using different methods of solving the problem: the proportional method, the unitary method, or the division method.