Question
Week 17 Assessme,
2. If you multiply me by 2 , add 1 , and then divide
by 3 , you get 5 . What number am I ?
2. If you multiply me by 2 , add 1 , and then divide
by 3 , you get 5 . What number am I ?
Ask by Schmidt Summers. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The number is 7.
Solution
Let’s solve the problem step by step to find the number you’re looking for.
Problem Statement:
“If you multiply me by 2, add 1, and then divide by 3, you get 5. What number am I?”
“If you multiply me by 2, add 1, and then divide by 3, you get 5. What number am I?”
Let’s denote the unknown number as
.
-
Multiply by 2:
-
Add 1:
-
Divide by 3:
Now, let’s solve for
:
-
Multiply both sides by 3 to eliminate the denominator:
-
Subtract 1 from both sides:
-
Divide both sides by 2:
Answer: The number is 7.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
Let’s start by breaking down the steps! Let the unknown number be represented as
. According to the equation:
To solve for
, multiply both sides by 3 to eliminate the fraction:
Now, subtract 1 from both sides:
Finally, divide by 2:
So, the mysterious number you’re looking for is 7!
Now, if you need to impress your friends, you can describe the versatility of algebraic equations! They can be applied in everyday scenarios—from budgeting your monthly expenses to optimizing recipes in cooking. Solving equations is like being a detective: you gather clues, set up your situation, and solve the case!
Additionally, remember that mistakes often arise from misinterpreting the order of operations. Always follow the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)). Double-checking your steps can save a lot of pondering after reaching an incorrect solution—just like a little math buddy keeping you on track!