Question

Решите задачу Сахар составляет три пятых вишнёвого варенья, А остальную часть вишня. Вишни в варенье на два кг меньше чем сахара. Какова масса варенья?

Answer 1

все варенье это 1 или 5/5
значит 5/5-3/5=2/5 столько частей вишня 
3/5-2/5=1/5 на столько сахара больше
2:1*5=10кг масса всего варенья ответ масса варенья 10кг

Answer 2

Problem Analysis

To solve this problem, we need to determine the mass of the jam. We are given that sugar makes up three-fifths of the cherry jam, and the remaining part is cherry. Additionally, we know that the mass of cherry in the jam is two kilograms less than the mass of sugar.

Solution

Let's assume the mass of sugar in the jam is x kilograms. Since sugar makes up three-fifths of the jam, the mass of cherry in the jam is (5/5 - 3/5)x = (2/5)x kilograms.

According to the problem, the mass of cherry in the jam is two kilograms less than the mass of sugar. So, we can write the equation:

(2/5)x = x - 2

To solve this equation, we can multiply both sides by 5 to eliminate the fraction:

2x = 5x - 10

Now, we can solve for x:

2x - 5x = -10

-3x = -10

x = -10 / -3

x = 10/3

Therefore, the mass of sugar in the jam is 10/3 kilograms.

To find the mass of the jam, we need to add the mass of sugar and the mass of cherry:

Mass of jam = Mass of sugar + Mass of cherry

Mass of jam = 10/3 + 2/5

To add these fractions, we need a common denominator. The least common multiple of 3 and 5 is 15. So, we can rewrite the equation with a common denominator:

Mass of jam = (10/3)(5/5) + (2/5)(3/3)

Mass of jam = 50/15 + 6/15

Mass of jam = 56/15

Therefore, the mass of the jam is 56/15 kilograms.

Answer

The mass of the jam is 56/15 kilograms.