Question

В коробке лежат красные, синие и желтые шары. Число красных шаров составляет 3\4 всех шаров, число синих составляет 30% от числа красных шаров, а остальные 160 шаров- желтые. Сколько всего шаров в коробке?

Answer 1

30%=3\10
3\4*3\10=9\40 - синих шаров
3\4=30\40 - это красные
9\40+30\40=39\40 - синих и красных
1-39\40=1\40 - желтые
1\40=160
160:1\40=160*40=6400 шаров всего

Answer 2

Problem Analysis

We are given a box containing red, blue, and yellow balls. The number of red balls is 3/4 of the total number of balls, the number of blue balls is 30% of the number of red balls, and the remaining 160 balls are yellow. We need to determine the total number of balls in the box.

Solution

Let's assume the total number of balls in the box is x.

According to the given information: - The number of red balls is 3/4 of the total number of balls, which means there are (3/4)x red balls. - The number of blue balls is 30% of the number of red balls, which means there are (30/100) * (3/4)x = (9/40)x blue balls. - The remaining 160 balls are yellow.

To find the total number of balls, we can sum up the number of red, blue, and yellow balls:

(3/4)x + (9/40)x + 160 = x

Simplifying the equation:

(30/40)x + (9/40)x + 160 = x

(39/40)x + 160 = x

160 = x - (39/40)x

160 = (1/40)x

x = 160 * 40

x = 6400

Therefore, the total number of balls in the box is 6400.

Answer

The total number of balls in the box is 6400.