Question

Мама положила на тарелку конфеты. После того,как дочь взяла 1/3 всех конфет,а сын взял 1/5 остатка, то в тарелке осталось 16 конфет. Сколько конфет положила на тарелку мама? Сомневаюсь в ответе.

Answer 1

Количество конфет в тарелке всего = 1 (целая)
1)  1/5  * (1  -  1/3 ) = 1/5  *  2/3  =2/15  от всех конфет взял сын
2) 1  - (1/3  + 2/15) =  1 - (5/15 + 2/15) = 1 - 7/15  =  8/15  от всех конфет составляет  16 конфет
3) 16 :   8/15 =  16/1    *  15/8  = 2*15 = 30  (конфет)  
Ответ:  30  конфет мама положила в тарелку.

Answer 2

Problem Analysis

We are given the following information: - The mother put some candies on a plate. - The daughter took 1/3 of all the candies. - The son took 1/5 of the remaining candies. - There were 16 candies left on the plate.

We need to determine how many candies the mother initially put on the plate.

Solution

Let's assume that the mother initially put x candies on the plate.

According to the given information: - The daughter took 1/3 of all the candies, which is (1/3)x. - The remaining candies after the daughter took her share is (2/3)x. - The son took 1/5 of the remaining candies, which is (1/5)(2/3)x = (2/15)x. - The remaining candies after the son took his share is (13/15)x.

We are told that there were 16 candies left on the plate, so we can set up the following equation:

(13/15)x = 16

To find the value of x, we can solve this equation.

Calculation

Let's solve the equation (13/15)x = 16 to find the value of x.

(13/15)x = 16

To isolate x, we can multiply both sides of the equation by (15/13):

x = 16 * (15/13)

x ≈ 18.4615

Answer

The mother initially put approximately 18.4615 candies on the plate.

Please note that the number of candies is not a whole number, so it is possible that the mother put a fraction of a candy on the plate.