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

в мален. коробке карандашей - 5х

в большой коробке карандашей - 9х

2*9х+3*5х=66

18х+15х=66

33х=66

х=2 (кар.) - в 1 части

5*2=10 (кар.) - в маленькой коробке

9*2=18 (кар.) - в большой коробке

Answer 2

Calculating the Number of Pencils in Each Box

To solve this problem, we can use a system of equations. Let's denote the number of pencils in the small box as x and the number of pencils in the large box as y. 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.

So, we have the following equation: x/y = 5/9

We also know that the total number of pencils in both boxes is 66. Therefore, we have another equation: x + y = 66

Solving the Equations

We can solve these two equations simultaneously to find the values of x and y.

First, let's express x in terms of y using the ratio: x = (5/9)y

Now, substitute this expression for x into the second equation: (5/9)y + y = 66

Solving for y: (14/9)y = 66 y = (9/14)*66 y = 42

Now that we have the value of y, we can find the value of x using the first equation: x = (5/9)y x = (5/9)*42 x = 30

Conclusion

So, there are 30 pencils in the small box and 42 pencils in the large box.