30 points and brainliest!! \Part A: A number is increased by 54. The sum is then divided by 9. The result is 21.


Write an equation to represent the description above. Use n for the number.


Equation: _____________________________


Part B: Find the value of n. Show your work.


n = __________________________________




Part C: Choose two numbers and use them to do the following:


Write an equation that shows your first number added to n equal to your second number. Solve your equation for n.


Equation: _____________________________


Solution: ______________

Respuesta :

Answer:

Part A) The equation that represent the situation is [tex]\frac{n+54}{9}=21[/tex]

Part B) The value of n is [tex]n=135[/tex]

Part C) The equation is [tex]35+n=60[/tex] and the solution is [tex]n=25[/tex]

Step-by-step explanation:

Part A) A number is increased by 54. The sum is then divided by 9. The result is 21.  Write an equation to represent the description above. Use n for the number

Let

n-----> the number

we know that

The linear equation that represent this situation is equal to

[tex]\frac{n+54}{9}=21[/tex]

Part B) Find the value of n

we have

[tex]\frac{n+54}{9}=21[/tex]

solve for n

Multiply by 9 both sides

[tex]n+54=21*9[/tex]

[tex]n+54=189[/tex]

Subtract 54 both sides

[tex]n=189-54[/tex]

[tex]n=135[/tex]

Part C) Choose two numbers and use them to do the following:

Write an equation that shows your first number added to n equal to your second number. Solve your equation for n

I choose 35 and 60

[tex]35+n=60[/tex]

Solve for n

Subtract 35 both sides

[tex]n=60-35[/tex]

[tex]n=25[/tex]