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?

Answer 1

15:18-соотношения числа карандашей в 3 маленьких и двух больших коробах(5х3,а 9х2)
15+18=33 (части)
66:33=2(кар) в одной части
2х5=10(к)-в маленькой
2х6=18 (к)-в большой коробке

Answer 2

Problem Analysis

To solve this problem, we need to find the number of pencils in the small and large boxes. We are given that the ratio of the number of pencils in the small box to the number of pencils in the large box is 5:9. Additionally, we know that there are a total of 66 pencils in both boxes.

Solution

Let's denote the number of pencils in the small box as 5x and the number of pencils in the large box as 9x. According to the given ratio, the total number of pencils can be expressed as:

5x + 9x = 66

Solving for x will allow us to find the number of pencils in each box.

Calculation

We can solve the equation 5x + 9x = 66 to find the value of x:

5x + 9x = 66 14x = 66 x = 66 / 14 x = 4.71

Since we can't have a fraction of a pencil, we need to find the closest whole number. Rounding down gives us x = 4.

Now, we can find the number of pencils in each box: - Number of pencils in the small box = 5x = 5 * 4 = 20 - Number of pencils in the large box = 9x = 9 * 4 = 36

Answer

So, there are 20 pencils in the small box and 36 pencils in the large box.