Question

Помогите пожалуйста решить задачу ! 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?

Answer 1

Берем за X кол-во малахита, тогда кварца (6x). По условию задачи известо,что всего 80 образцов минерала.

Решим ур-ие

x+6х+17=80

7x=80-17

7x=63

x= 63:7

x=9

9*6=54

Ответ 54

 

Answer 2

Problem Analysis

To solve this problem, we need to determine the number of malachite samples in the collection. We are given that the collection consists of jade, quartz, and malachite samples, with a total of 80 mineral samples. Additionally, we know that there are 17 jade samples and the number of quartz samples is six times the number of malachite samples.

Solution

Let's denote the number of malachite samples as x. We can use this information to set up an equation and solve for x.

1. The total number of mineral samples in the collection is 80: - jade samples + quartz samples + malachite samples = 80 - 17 + (6x) + x = 80

2. Simplify the equation: - 17 + 7x = 80

3. Solve for x: - Subtract 17 from both sides: 7x = 63 - Divide both sides by 7: x = 9

Therefore, there are 9 malachite samples in the collection.

Answer

There are 9 malachite samples in the collection.