Final answer:
To find 50% of the number, we first calculate the full value of the number by dividing 680 by 1.70, which gives 400. Then, we find 50% of 400, which is 200. Thus, the correct answer is option B: 200.
Step-by-step explanation:
To find 50% of a number when given that 170% of the number is 680, we first need to find the value of 100% of the number and then find 50% of that number. Here's how:
- Let the unknown number be x.
- Since 170% of x is 680, we can write this as 1.70x = 680.
- To find x, divide both sides of the equation by 1.70, giving us x = 680 / 1.70.
- Doing the division, we find that x is 400.
- Now, 50% of 400 is calculated by multiplying 400 by 0.50.
- 50% of 400 is thus 200.
The correct answer is B. 200, which is 50% of the number.