Question

Чтобы приготовить джем,берут 3части фруктов и 5 частей сахара.Сколько кг.сахара и фруктов израсходовали,если фруктов взяли на 1кг600г меньше,чем сахара?Помогите решить?

Answer 1

Х - это 1 часть, тогда 3х фрукты, а 5х сахар
5х-3х=1600
2х=1600
х=1600:2
х=800 выходит на одну часть
800*3=2400=2кг400г - фрукты
800*5=4000=4 кг =сахар

Answer 2

Всего джем состоит из восьми частей.
Разница между сахаром и фруктами равна двум частям => 1600г = 2 части => 1 часть = 800г
Фруктов: 800 * 3 = 2400г = 2.4кг
Сахара: 800 * 5 = 4000г = 4кг
Ответ: 2.4 кг фруктов и 4 кг сахара.

Answer 3

Calculating the Amount of Sugar and Fruit Used to Make Jam

To solve this problem, we can use a system of equations to represent the given information and find the values for the amount of sugar and fruit used to make the jam.

Let's denote: - x as the amount of fruit in kilograms - y as the amount of sugar in kilograms

Given: - 3 parts of fruit and 5 parts of sugar are used to make the jam - The amount of fruit taken is 1.6 kg less than the amount of sugar

We can set up the following equations based on the given information:

1. 3x = 5y (equation representing the ratio of fruit to sugar) 2. x + 1.6 = y (equation representing the difference in the amount of fruit and sugar)

Now, let's solve the system of equations to find the values of x and y.

Solving the System of Equations

Substitute the value of y from the second equation into the first equation: 3x = 5(x - 1.6)

Expand and solve for x: 3x = 5x - 8 8 = 5x - 3x 8 = 2x x = 4

Now that we have the value of x, we can find the value of y using the second equation: y = x + 1.6 y = 4 + 1.6 y = 5.6

Answer:

So, the amount of fruit used is 4 kg and the amount of sugar used is 5.6 kg to make the jam.