Question

в двух больших и трёх маленьких коробках 66 карандашей. число карандашей в маленькой коробке относится к числу карандашей в большой как 5:9. сколько карандашей в маленькой коробке и сколько в большой? (решить пропорцией)

Answer 1

Ответ:

1) В трех маленьких 5*3=15(ч)

2) В двух больших 9*2=18(ч)

3) 15+18=33(ч) всего во всех коробках

4) 66 : 33 = 2(к) карандаша приходится на 1 часть

5) 2 * 5 = 10(к) карандашей в маленькой коробке

6) 2 * 9 = 18(к) карандашей в большой коробке

Ответ:10 карандашей в маленькой коробке и 18 в большой.

Пошаговое объяснение:

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Answer 2

Problem Analysis

We are given that there are a total of 66 pencils in two large and three small boxes. The ratio of the number of pencils in the small box to the number of pencils in the large box is 5:9. We need to find the number of pencils in the small box and the number of pencils in the large box.

Solution

Let's assume the number of pencils in the small box is 5x and the number of pencils in the large box is 9x. According to the given information, the total number of pencils is 66.

So, we can set up the equation: 5x + 9x = 66.

Simplifying the equation, we get: 14x = 66.

Now, we can solve for x by dividing both sides of the equation by 14: x = 66 / 14 = 4.71.

Since we cannot have a fraction of a pencil, we can round x to the nearest whole number, which is 5.

Therefore, the number of pencils in the small box is 5 * 5 = 25, and the number of pencils in the large box is 9 * 5 = 45.

Answer: There are 25 pencils in the small box and 45 pencils in the large box.

Explanation

By setting up the equation and solving for x, we determined that the number of pencils in the small box is 5 times x, and the number of pencils in the large box is 9 times x. Since x is rounded to the nearest whole number, we found that there are 25 pencils in the small box and 45 pencils in the large box.