I don't know how to answer this.
If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals_______.
0.1n=0.2n-2
Find n and find 80% of it.
-0.1n=-2
n=20
So 80% of n is 16
Answer is 16
To find the answer, we need to understand the relationship stated in the question. Let's break it down step by step.
1. We are given that 10% of a number is 2 less than 20% of the same number.
- This means that if we take any number and multiply it by 10%, the result will be 2 less than if we multiply the same number by 20%.
2. Let's assume the number is represented by "x".
- We need to find the value of 80% of this number.
- So, we need to find 80% of "x".
3. To solve this problem, we can use algebra:
- Let's start by finding 10% and 20% of the number "x":
- 10% of x = (10/100) * x = 0.1x
- 20% of x = (20/100) * x = 0.2x
4. Given that 10% of x is 2 less than 20% of x, we can write the equation:
- 0.1x = 0.2x - 2
5. Now, let's solve the equation to find the value of x:
- Move 0.1x to the right side of the equation:
- 0.2x - 0.1x = 2
- 0.1x = 2
- Divide both sides of the equation by 0.1 to solve for x:
- x = 2 / 0.1
- x = 20
6. We have found that the number "x" is equal to 20.
7. Finally, we need to find 80% of the number, which is:
- 80% of 20 = (80/100) * 20 = 0.8 * 20 = 16
Therefore, 80% of the number is equal to 16.