Question

Помогите решить задачу. Решения уравнения. а) х*6=144*7 б) х*7=144/6 С помощью какого уравнения и какой схемы шофер автобуса может решить каждую задачу? а) Масса шести рюкзаков равна 144 кг. Чему равна масса семи таких же рюкзаков?

Answer 1

Х*6=144*7
х=144*7 :6
х=168(кг) -масса семи таких рюкзаков

Answer 2

Solution to Equation a) х * 6 = 144 * 7

To solve the equation х * 6 = 144 * 7, we need to isolate the variable х on one side of the equation. Here's the step-by-step solution:

1. Divide both sides of the equation by 6: ``` (х * 6) / 6 = (144 * 7) / 6 ``` Simplifying, we get: ``` х = (144 * 7) / 6 ```

2. Calculate the right side of the equation: ``` х = 1008 / 6 ``` Simplifying further, we get: ``` х = 168 ```

Therefore, the solution to the equation х * 6 = 144 * 7 is х = 168.

Solution to Equation б) х * 7 = 144 / 6

To solve the equation х * 7 = 144 / 6, we'll follow a similar process as before:

1. Divide both sides of the equation by 7: ``` (х * 7) / 7 = (144 / 6) / 7 ``` Simplifying, we get: ``` х = (144 / 6) / 7 ```

2. Calculate the right side of the equation: ``` х = 24 / 7 ```

Therefore, the solution to the equation х * 7 = 144 / 6 is х = 24 / 7.

Using Equations and Schemas to Solve Problems

To solve each of the given problems, we can use equations and schemas to represent the given information and find the solution.

For problem a) "The mass of six backpacks is equal to 144 kg. What is the mass of seven backpacks?", we can represent the problem using the equation 6x = 144, where x represents the mass of one backpack. To find the mass of seven backpacks, we can multiply the mass of one backpack by 7: 7x.

For problem б) "The mass of seven backpacks is equal to 144/6 kg. What is the mass of one backpack?", we can represent the problem using the equation 7x = 144/6, where x represents the mass of one backpack. To find the mass of one backpack, we can divide the mass of seven backpacks by 7: x = (144/6) / 7.

By using these equations and following the steps outlined above, we can find the solutions to the given problems.

Let me know if you need any further assistance!