Here is my problem. Please walk me through how you got to the answer.
Three-fourths of a number equals 3 times the number increased by 9.
Is this the correct equation?
3/4n = 3n + 9
Here's another. In this one, does "is" mean "equals"?
One-fourth of a number is one-half more than sixth-eights of the number.
Is this correct?
1/4n = 1/2 + 6/8n
Thank you so much! Any help is appreciated!
you have both correct, good work.
Thank you very much! :)
To solve the first problem, let's break it down step by step.
The problem states that three-fourths of a number equals 3 times the number increased by 9.
Let's use the letter "n" to represent the unknown number.
Step 1: Translate the given information into an equation.
The problem says "three-fourths of a number," so we can write this as 3/4n.
The problem also states "equals," so we can write this as "=".
The problem says "3 times the number increased by 9," which can be written as 3n + 9.
Putting it all together, the equation becomes: 3/4n = 3n + 9.
Now, for the second problem:
The problem states that one-fourth of a number is one-half more than six-eighths of the number.
Let's use the letter "n" again to represent the unknown number.
Step 1: Translate the given information into an equation.
The problem says "one-fourth of a number," so we can write this as 1/4n.
The problem says "is," which means "equals," so we can write this as "=".
The problem says "one-half more than six-eighths of the number."
To calculate "one-half more than six-eighths of the number," we first multiply the number by six-eighths, which can be represented as 6/8n.
Then, we add one-half to the result, which can be written as 1/2 + (6/8n).
Putting it all together, the equation becomes: 1/4n = 1/2 + 6/8n.
Therefore, the equations you provided for both problems are correct.