Question

Для виготовлення фарфору беруть 25 частин білої глини,2 частини піску й частину гіпсу.Скільки кожного із цих матеріалів потрібно вззяти для виготовлення 56 кг суміші,з якої виготовляють фарфор?

Answer 1

1 способ без Х

25+2+1=28 частей в составе фарфора

56:28=2кг масса одной части фарфора

25*2=50кг глины

2*2=4кг песка

1*2=2кг гипса

 

50+4+2=56кг смеси

 

2 способ с Х

х-масса одной части

25х+2х+х=56

28х=56

х=56:28

х=2кг масса одной части фарфора

25*2=50кг глины

2*2=4кг песка

1*2=2кг гипса

 

50+4+2=56кг смеси

Answer 2

25+2+1=28 - частей всего

56:28=2кг - на одну часть

2*25=50кг - белой глины

2*2=4кг - песка

2*1=2кг - гипса

 если что извените я украинский плохо полохо понимаю

 

 

Answer 3

Answer in detail. To make porcelain, they take 25 parts of white clay, 2 parts of sand and 1 part of gypsum. How much of each of these materials do you need to take to make 56 kg of mixture, from which porcelain is made?

To solve this problem, we can use proportions. A proportion is an equality of two ratios. We can write a proportion using the given information as follows:

25 : 2 : 1 = x : y : z

where x is the amount of white clay, y is the amount of sand, and z is the amount of gypsum in kilograms. We also know that the sum of x, y, and z is 56, so we can write another equation:

x + y + z = 56

We can use these two equations to find the values of x, y, and z. One way to do this is to use cross-multiplication to solve the proportion. For example, to find x, we can multiply both sides of the proportion by 25:

25 × 25 : 25 × 2 : 25 × 1 = 25 × x : 25 × y : 25 × z

Simplifying, we get:

625 : 50 : 25 = 25x : 25y : 25z

Dividing both sides by 25, we get:

25 : 2 : 1 = x : y : z

This is the same as the original proportion, so we can conclude that x = 25. Similarly, we can find y and z by multiplying both sides of the proportion by 2 and 1, respectively. We get:

y = 2 and z = 1

Therefore, to make 56 kg of mixture, we need to take 25 kg of white clay, 2 kg of sand, and 1 kg of gypsum.how to solve a proportion problem