Question

Для варенья из вишни на 2 части ягод берут 3 части сахара Сколько сахара следует взять для 1 кг ягод Сколько килограммов вишни было у мамы Если для варки варенья она приготовила 4 килограмма 500 грамм сахара

Answer 1

1 кг = 1000 г,  4 кг 500 г = 4500 г
нехай х - вага цукру яка потрібна для приготування варення, вишня відноситься до цукру, як 2/3, отже 2/3 = 1000 г
х = 1000 *3/2
х = 1500 г
якщо цукру взято 4500 г, тоді 4500 / 1500 = 3, відповідь для 1 кг ягід потрібно 1,5 кг цукру, і для 4,5  кг цукру потрібно 3 кг вишні 

Answer 2

Calculating Sugar for Cherry Jam

To calculate the amount of sugar needed for 1 kg of cherries, we can use the given ratio of 2 parts cherries to 3 parts sugar.

Ratio of Cherries to Sugar: 2 parts cherries to 3 parts sugar

To find the amount of sugar needed for 1 kg of cherries, we can set up a proportion:

1. Setting up the Proportion: - 2 parts cherries = 1 kg - 3 parts sugar = x (unknown amount of sugar)

This can be represented as: 2/3 = 1/x

2. Solving for x (Amount of Sugar): - Cross-multiply to solve for x: 2x = 3 x = 3/2 x = 1.5 kg

So, for 1 kg of cherries, 1.5 kg of sugar is needed.

Amount of Cherries Prepared by Mom

Given that the mom prepared 4 kg 500 g of sugar for making jam, we can calculate the amount of cherries she used.

1. Amount of Sugar Prepared: 4 kg 500 g 2. Ratio of Cherries to Sugar: 2 parts cherries to 3 parts sugar

To find the amount of cherries used, we can set up a proportion:

- 3 parts sugar = 4.5 kg - 2 parts cherries = x (unknown amount of cherries)

This can be represented as: 3/2 = 4.5/x

Solving for x: - Cross-multiply to solve for x: 3x = 9 x = 9/3 x = 3 kg

So, the mom had 3 kg of cherries to make the jam.