Question
Three-eighths of a number, decreased
by 1 , is 5 . Find the number.
Seven diminished by
by 1 , is 5 . Find the number.
Seven diminished by
Ask by Hardy Li. in the United States
Jan 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 16.
Solution
Let’s tackle both problems step by step.
1. Three-eighths of a Number, Decreased by 1, is 5
Problem Statement:
“Three-eighths of a number, decreased by 1, is 5. Find the number.”
“Three-eighths of a number, decreased by 1, is 5. Find the number.”
Let’s denote the unknown number as
Step-by-Step Solution:
-
Translate the problem into an equation:
-
Add 1 to both sides to isolate the term with
: -
Multiply both sides by the reciprocal of
to solve for :
Answer: The number is 16.
2. Seven Diminished by
Problem Statement:
“Seven diminished by
“Seven diminished by
Interpretation:
To “diminish” means to subtract. So, “seven diminished by
To “diminish” means to subtract. So, “seven diminished by
Explanation:
- "Seven" is the starting value.
- "Diminished by
of a number" means you subtract from seven.
Final Expression:
Note: If there’s additional information or if you need to solve for
Feel free to reach out if you have any more questions or need further assistance!
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To solve this, let’s take the first part: three-eighths of a number decreased by 1 equals 5. If we let the number be
Adding 1 to both sides gives us:
Now, multiplying both sides by
So, the number is 16!
Now, regarding the second part: we set up a similar approach for “seven diminished by
To get more information, if there’s a conclusion or value you’re looking for, please let me know!
