Question

ПОМОГИТЕ! с задачей магазин продал за день 16 одинаковых банок вишнёвого варенья и 20 таких же банок малинового причём малинового варенья было продано на 8 кг больше чем вишнёвого сколько килограммов варенья каждого сорта было продано за день

Answer 1

Сколько кг варенья в 1 банке
1) 8:(20-16)= 2(кг)
Сколько продали вишнёвого варенья
2) 16×2= 32(кг)
Сколько продали малинового варенья
3) 20×2= 40(кг)

Answer 2

По 2 кг в банке. 32 кг вишневого варенья и 40 кг малинового варенья

Answer 3

Problem Analysis

The problem states that a store sold 16 identical jars of cherry jam and 20 identical jars of raspberry jam. The amount of raspberry jam sold was 8 kg more than the amount of cherry jam sold. We need to find the amount of jam sold for each type.

Solution

Let's assume that the amount of cherry jam sold is x kg. Since the amount of raspberry jam sold was 8 kg more than the cherry jam, the amount of raspberry jam sold can be represented as x + 8 kg.

According to the problem, the store sold a total of 16 jars of cherry jam and 20 jars of raspberry jam. We can use this information to set up an equation:

16 * (amount of cherry jam per jar) = x (Equation 1)

20 * (amount of raspberry jam per jar) = x + 8 (Equation 2)

We can solve this system of equations to find the values of x and x + 8.

Solving the Equations

Let's solve Equation 1 for the amount of cherry jam per jar:

amount of cherry jam per jar = x / 16

Substituting this value into Equation 2, we get:

20 * (x / 16) = x + 8

Simplifying the equation:

20x / 16 = x + 8

Multiplying both sides of the equation by 16 to eliminate the fraction:

20x = 16(x + 8)

Expanding the equation:

20x = 16x + 128

Subtracting 16x from both sides:

4x = 128

Dividing both sides by 4:

x = 32

Now we know that the amount of cherry jam sold is 32 kg.

To find the amount of raspberry jam sold, we can substitute this value back into Equation 2:

20 * (amount of raspberry jam per jar) = 32 + 8

Simplifying the equation:

20 * (amount of raspberry jam per jar) = 40

Dividing both sides by 20:

amount of raspberry jam per jar = 2

Therefore, the amount of raspberry jam sold is 40 kg.

Answer

The store sold 32 kg of cherry jam and 40 kg of raspberry jam in one day.