Question

Сережа,Даша и Никита собрались 32 5\18 кг винограда. Сережа и Никита вместе собрали 24 5\6 кг винограда. Сколько килограммов винограда собрала Даша? Пожалуйста пишите всё решение, а не только ответ.

Answer 1

32 5/18 - 24 5/6 = 8 5/18 - 5*3/18 = 8 (5-15)/18 = 7 ((5+18)-15)/18 = 7 8/18 = 7 4/9

Answer 2

32 5/18 - 24 5/6 = 581/18 - 447/18 = 134/18 = 7 4/9

Answer 3

Problem Analysis

We are given that Serzha, Dasha, and Nikita collected a total of 32 5/18 kg of grapes. Serzha and Nikita together collected 24 5/6 kg of grapes. We need to find out how many kilograms of grapes Dasha collected.

Solution

Let's assume the weight of grapes collected by Dasha is x kg.

According to the given information: - Serzha + Dasha + Nikita = 32 5/18 kg - Serzha + Nikita = 24 5/6 kg

To find the weight of grapes collected by Dasha, we can subtract the weight collected by Serzha and Nikita from the total weight.

So, the equation becomes: - Serzha + Dasha + Nikita - (Serzha + Nikita) = 32 5/18 kg - 24 5/6 kg

Simplifying the equation: - Dasha = (32 5/18 kg - 24 5/6 kg)

To subtract the fractions, we need to find a common denominator. The least common multiple (LCM) of 18 and 6 is 18.

Converting the fractions to have a common denominator of 18: - Dasha = (32 * 18/18 - 24 * 3/3) kg - Dasha = (576/18 - 72/18) kg - Dasha = (504/18) kg - Dasha = 28 kg

Therefore, Dasha collected 28 kg of grapes.

Answer

Dasha collected 28 kg of grapes.

Explanation

Dasha's weight of grapes can be found by subtracting the weight collected by Serzha and Nikita from the total weight. In this case, the total weight is 32 5/18 kg, and the weight collected by Serzha and Nikita is 24 5/6 kg. By subtracting these two values, we find that Dasha collected 28 kg of grapes.