Question

Магазин продал за день 16 одинаковых банок вишневого варенья и 20 таких же банок малинового,причём малинового варенья было продано на 8 кг больше, чем вишневого.Сколько килограммов варенья каждого сорта было продано за день? С ответом.

Answer 1

16х=20х+8
16х-20Х-8
-4Х-8
Х=-8/-4
Х=2

16*2=32
20*2=40
ОТВЕТ:ВИШНЕВОГО 32 КГ,МАЛИНОВОГО 40 КГ. 

Answer 2

Problem Analysis

We are given that a store sold 16 identical jars of cherry jam and 20 identical jars of raspberry jam in one day. Additionally, the weight of the raspberry jam sold was 8 kg more than the weight of the cherry jam sold. We need to determine the weight of each type of jam sold in one day.

Solution

Let's assume the weight of each jar of cherry jam is x kg. Therefore, the weight of 16 jars of cherry jam sold in one day would be 16x kg.

Given that the weight of the raspberry jam sold was 8 kg more than the weight of the cherry jam sold, we can express the weight of each jar of raspberry jam as x + 8 kg. Therefore, the weight of 20 jars of raspberry jam sold in one day would be 20(x + 8) kg.

To find the weight of each type of jam sold in one day, we need to solve the following equation:

16x + 20(x + 8) = total weight of jam sold

Simplifying the equation:

16x + 20x + 160 = total weight of jam sold

Combining like terms:

36x + 160 = total weight of jam sold

Since we don't have the total weight of jam sold, we cannot determine the exact weight of each type of jam sold. However, we can express the weight of each type of jam in terms of x.

Let's solve for x:

36x + 160 = total weight of jam sold

Subtracting 160 from both sides:

36x = total weight of jam sold - 160

Dividing both sides by 36:

x = (total weight of jam sold - 160) / 36

Therefore, the weight of each jar of cherry jam is (total weight of jam sold - 160) / 36 kg, and the weight of each jar of raspberry jam is [(total weight of jam sold - 160) / 36] + 8 kg.

Please note that without the total weight of jam sold, we cannot determine the exact weight of each type of jam sold. We can only express the weights in terms of x.

Let me know if there is anything else I can help you with!