Question

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:​

Answer 1

(n +54)/9 = 21; 135= n

Explanation:

(n+54)/9 = 21

n+54/9 *9= 21*9

n+54-54 = 189-54

n= 135

the first part is simply recognizing the order its written and the words used.

So to start off with, they use the turn "a number" so we know there's going to be some form of a variable. From there it says "increased by" rather than "multiplied" or "doubled" or something of that nature, so we know its adding 54 rather than multiplying. Then, the next part says that "the sum" which is another key term for addition, "is then divided by 9". So we can assume so far that a variable plus 54 is added together to get a number, which is then going to be taken and divided by 9. The last part says "the result is 21", which simply means that we need to end up with 21.

So once we gather all this information, we can put it together as so: (n +54)/ 9 = 21.

I put parentheses around the n + 54 to make sure that the equation is following the system of equations (PEMDAS).