Question

решите уравнения лики с объяснением и проверкой.х-60=200:4 х+60=200:4 придумайте задачу к этой схеме и уравнению .к какому из этих уравнений майя составила схему

Answer 1

X-60=200:4                                                   x+60=200:4
x-60=50                                                        x+60=50
x=110        (При переносе знак меняют)        x= -10    (задача похожа на первую)
Задача-
На складе было столько бананов, что при продаже из общего числа(x) 60-ти бананов, получившееся число бананов при продаже было равно числу, получившееся при делении апельсинов между четырьмя ресторанами. Найти сколько бананов на складе было первоначально?

Answer 2

Solving Equations:

Let's solve the equations step by step and explain the process along the way.

1. Equation: х - 60 = 200/4

To solve this equation, we need to isolate the variable х. Here's how we can do it:

Step 1: Add 60 to both sides of the equation to eliminate the -60 on the left side: х - 60 + 60 = 200/4 + 60

Simplifying the equation: х = 200/4 + 60

Step 2: Simplify the right side of the equation: х = 50 + 60

Simplifying further: х = 110

Therefore, the solution to the equation х - 60 = 200/4 is х = 110.

2. Equation: х + 60 = 200/4

To solve this equation, we'll follow a similar process:

Step 1: Subtract 60 from both sides of the equation to eliminate the +60 on the left side: х + 60 - 60 = 200/4 - 60

Simplifying the equation: х = 200/4 - 60

Step 2: Simplify the right side of the equation: х = 50 - 60

Simplifying further: х = -10

Therefore, the solution to the equation х + 60 = 200/4 is х = -10.

Example Problem:

Let's create a word problem based on the given equations:

Problem: Maya is organizing a charity event. She has already collected 200 dollars, which she wants to distribute equally among 4 volunteers. However, she needs to keep 60 dollars for event expenses. Maya wants to know how much money each volunteer will receive.

Solution: Let's represent the amount of money each volunteer will receive with the variable х.

From the problem, we know that Maya has 200 dollars and wants to distribute it equally among 4 volunteers, while keeping 60 dollars for expenses. We can set up the equation as follows:

х - 60 = 200/4

Now, we can solve this equation using the steps mentioned earlier:

Step 1: Add 60 to both sides of the equation: х - 60 + 60 = 200/4 + 60

Simplifying the equation: х = 200/4 + 60

Step 2: Simplify the right side of the equation: х = 50 + 60

Simplifying further: х = 110

Therefore, each volunteer will receive 110 dollars.

Maya created a scheme based on the equation х - 60 = 200/4.

I hope this explanation helps! Let me know if you have any further questions.