Question

Помогите решить задачу. Отношение числа синих шариков к числу жёлтых шариков равно 3:7. Какую часть числа всех шариков составляют жёлтые? Каких шариков больше и во сколько раз?

Answer 1

син.шар.-3 желт.шар.-7-?часть от всех-во ?ск больш.синих  всего-?шар.  1)3+7=10(шар.)-всего 2)7/10(часть)-желт. от всех 3)7/3=2 1/3(раза)-во ск раз больше 

Answer 2

3+7=10
7/10
Ответ:7/10; синих больше в $2 \frac{1}{3}$

Answer 3

Problem Analysis

We are given that the ratio of the number of blue balls to the number of yellow balls is 3:7. We need to find the fraction of yellow balls out of the total number of balls and determine which type of ball is more and by how many times.

Solution

Let's assume that the number of blue balls is 3x and the number of yellow balls is 7x, where x is a positive integer.

To find the fraction of yellow balls out of the total number of balls, we need to calculate the total number of balls. The total number of balls is the sum of the number of blue balls and the number of yellow balls.

The fraction of yellow balls can be calculated as follows:

Fraction of yellow balls = Number of yellow balls / Total number of balls

Let's calculate the total number of balls:

Total number of balls = Number of blue balls + Number of yellow balls

Substituting the values:

Total number of balls = 3x + 7x = 10x

Now, let's calculate the fraction of yellow balls:

Fraction of yellow balls = Number of yellow balls / Total number of balls = 7x / 10x = 7/10

Therefore, the fraction of yellow balls out of the total number of balls is 7/10.

To determine which type of ball is more, we can compare the number of blue balls and the number of yellow balls. From the given ratio, we know that the number of yellow balls is greater than the number of blue balls.

To find out by how many times the number of yellow balls is greater than the number of blue balls, we can calculate the ratio of the number of yellow balls to the number of blue balls:

Ratio of yellow balls to blue balls = Number of yellow balls / Number of blue balls = 7x / 3x = 7/3

Therefore, the number of yellow balls is greater than the number of blue balls by a factor of 7/3.

Conclusion

In conclusion, the fraction of yellow balls out of the total number of balls is 7/10. There are more yellow balls than blue balls, and the number of yellow balls is greater than the number of blue balls by a factor of 7/3.