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]