
Кондитерская продала за день 85 кг шоколадных конфет мармелада и зефира. Мармелада и зефира было
продано 49 кг зефира и шоколадных конфет - 57 кг. (Сколько килограммов шоколадных конфет было продано?.) Сколько зефира?. А сколько мармелада?

Ответы на вопрос

85-49=36 шок конфет
85-57=28 мармелада
49-28=21 зефира



1) 85-49=36(кг)-шоколадных
2) 85-57=28(кг)-мармелада
3) 85-(36+28)=21(кг)-зефира



Problem Analysis
A confectionery sold a total of 85 kg of chocolate candies, marshmallows, and jellies in one day. The combined weight of marshmallows and jellies sold was 49 kg, and the combined weight of chocolate candies and jellies sold was 57 kg. We need to determine the weight of the chocolate candies, marshmallows, and jellies sold individually.
Solution
Let's assume: - Weight of chocolate candies = x kg - Weight of marshmallows = y kg - Weight of jellies = z kg
From the given information, we can form the following equations:
1. x + y + z = 85 (equation 1) - Total weight of all three types of candies sold is 85 kg. 2. y + z = 49 (equation 2) - Combined weight of marshmallows and jellies sold is 49 kg. 3. x + z = 57 (equation 3) - Combined weight of chocolate candies and jellies sold is 57 kg.
To solve these equations, we can use a method called substitution. We'll solve equation 2 for y and substitute it into equations 1 and 3.
From equation 2, we have y = 49 - z.
Substituting y = 49 - z into equations 1 and 3, we get:
1. x + (49 - z) + z = 85 2. x + z = 57
Simplifying equation 1, we have:
x + 49 - z + z = 85 x + 49 = 85 x = 85 - 49 x = 36
So, the weight of the chocolate candies sold is 36 kg.
Substituting x = 36 into equation 3, we get:
36 + z = 57 z = 57 - 36 z = 21
So, the weight of the jellies sold is 21 kg.
To find the weight of the marshmallows, we can substitute the values of x and z into equation 2:
y + z = 49 y + 21 = 49 y = 49 - 21 y = 28
So, the weight of the marshmallows sold is 28 kg.
Answer
Based on the given information, the confectionery sold: - 36 kg of chocolate candies, - 28 kg of marshmallows, and - 21 kg of jellies.
Please let me know if there is anything else I can help you with!


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