Question

в магазин привезли 48 ящиков желтой и красной черешни число ящиков с желтой черешни составляет шестую часть всех ящиков Посчитать число ящиков с красной черешни Реши задачу двумя способами. Решение

Answer 1

Problem Statement

В магазин привезли 48 ящиков желтой и красной черешни. Число ящиков с желтой черешни составляет шестую часть всех ящиков. Посчитать число ящиков с красной черешни. Решить задачу двумя способами.

Solution 1: Using Proportions

Let's solve the problem using proportions. We know that the number of boxes with yellow cherries is one-sixth of all the boxes. Let's represent the total number of boxes as x. Therefore, the number of boxes with yellow cherries is x/6.

According to the problem, the total number of boxes is 48. So we can set up the following proportion:

x/6 = 48

To find the value of x, we can cross-multiply and solve for x:

x = 6 * 48 = 288

Therefore, the total number of boxes is 288.

To find the number of boxes with red cherries, we can subtract the number of boxes with yellow cherries from the total number of boxes:

Number of boxes with red cherries = Total number of boxes - Number of boxes with yellow cherries = 288 - 48 = 240

So, there are 240 boxes with red cherries.

Solution 2: Using Ratios

Another way to solve the problem is by using ratios. We know that the number of boxes with yellow cherries is one-sixth of all the boxes. This means that the ratio of boxes with yellow cherries to the total number of boxes is 1:6.

Let's represent the number of boxes with yellow cherries as y and the total number of boxes as t. Therefore, we have the following ratio:

y/t = 1/6

According to the problem, the total number of boxes is 48. So we can substitute this value into the ratio:

y/48 = 1/6

To find the value of y, we can cross-multiply and solve for y:

y = (1/6) * 48 = 8

Therefore, the number of boxes with yellow cherries is 8.

To find the number of boxes with red cherries, we can subtract the number of boxes with yellow cherries from the total number of boxes:

Number of boxes with red cherries = Total number of boxes - Number of boxes with yellow cherries = 48 - 8 = 40

So, there are 40 boxes with red cherries.

Conclusion

In conclusion, there are two ways to solve the problem. Using proportions, we find that there are 288 boxes in total, with 240 boxes containing red cherries. Using ratios, we find that there are 48 boxes in total, with 40 boxes containing red cherries. Both methods yield the same result, showing that there are 240 boxes with red cherries.