Question

Коллекция минералов состоит из яшмы, кварца и малахита. В ней 80 образцов минералов. В коллекции 17 образцов яшмы, а образцов кварца в 6 раз больше чем малахита. Сколько образцов малахита в коллекции?Решить с помощью икса

Answer 1

х это малахит

6х это кварц

х+6х+17=80

7х=80-17

7х=63

х=63/7

х=9 это малахит

6*9=54 это кварц

Answer 2

Calculating the Number of Malachite Samples in the Collection

To calculate the number of malachite samples in the collection, we can use the information provided about the number of jade and quartz samples and their relationship to the number of malachite samples.

Given: - The collection consists of jade, quartz, and malachite. - There are 80 mineral samples in the collection. - There are 17 jade samples. - The number of quartz samples is 6 times greater than the number of malachite samples.

Let's denote: - Number of malachite samples as x. - Number of quartz samples as 6x (6 times greater than malachite samples).

We can use the given information to form an equation and solve for the number of malachite samples.

Equation Setup

The total number of samples is the sum of jade, quartz, and malachite samples: 17 (jade) + 6x (quartz) + x (malachite) = 80

Solving for x (Number of Malachite Samples)

17 + 6x + x = 80 17 + 7x = 80 7x = 80 - 17 7x = 63 x = 63 / 7 x = 9

Answer

Therefore, there are 9 malachite samples in the collection.

This calculation is based on the given information and the relationship between the number of jade, quartz, and malachite samples in the collection.