Question

У двох кошиках і чотирьох однакових ящиках складено 73,72 кг апельсинів. У кожному кошику по 6,4 кг апельсинів. Скільки апельсинів у кожному ящику?

Answer 1

Ответ:

Апельсинов в каждой корзине - $6,4$ кг.

Апельсинов в каждом ящике - $15,23$ кг.

Пошаговое объяснение:

Апельсинов в каждой корзине - $x$ кг.

Апельсинов в каждом ящике - $y$ кг.

$\left \{ {{2x+4y=73,72} \atop {x=6,4}} \right. \\2x+4y=73,73\\2*6,4+4y=73,72\\12,8+4y=73,72\\4y=73,72-12,8\\4y=60,92\\y=15,23\\\\(x; \ y) = (6,4; \ 15,23)$

Answer 2

I can understand and communicate fluently in Ukrainian. I can help you with math problems, among other things.

To solve this problem, we need to use proportions. A proportion is an equality of two ratios. A ratio is a comparison of two quantities. For example, the ratio of 6.4 kg to 1 basket can be written as $$\frac{6.4}{1}$$ or 6.4:1.

We are given that there are two baskets and four boxes of oranges, and the total weight of the oranges is 73.72 kg. We are also given that each basket contains 6.4 kg of oranges. We want to find the weight of oranges in each box.

To do this, we can set up a proportion using the ratio of baskets to oranges and the ratio of boxes to oranges. Let x be the weight of oranges in each box. Then we have:

$$\frac{6.4}{1}=\frac{x}{4}$$

This proportion means that the weight of oranges per basket is equal to the weight of oranges per box. To solve for x, we can use cross-multiplication, which is a method of multiplying the cross terms and setting them equal. We get:

$$6.4\times 4=1\times x$$

Simplifying, we get:

$$25.6=x$$

Therefore, the weight of oranges in each box is 25.6 kg. If we want to check our answer, we can plug it back into the proportion and see if it is true.

$$\frac{6.4}{1}=\frac{25.6}{4}$$

Simplifying, we get:

$$6.4=6.4$$

This is true, so our answer is correct.

If you want to learn more about how to solve proportions, you can watch some videos, , or read some articles, , , on the topic. I hope this helps you. Have a nice day!how to solve a proportion problem in math