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5 votes
5 votes
1. If 170% of a number is 680, what is 50% of the number?*

O A. 180
B. 200
O C.315
O D. 340
O E. 400

User Joe Pitz
by
3.0k points

2 Answers

17 votes
17 votes

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:

  1. Let the unknown number be x.
  2. Since 170% of x is 680, we can write this as 1.70x = 680.
  3. To find x, divide both sides of the equation by 1.70, giving us x = 680 / 1.70.
  4. Doing the division, we find that x is 400.
  5. Now, 50% of 400 is calculated by multiplying 400 by 0.50.
  6. 50% of 400 is thus 200.

The correct answer is B. 200, which is 50% of the number.

User Fredrik Stolpe
by
2.7k points
29 votes
29 votes

Answer:

200

Step-by-step explanation:

Say the number is x. Then 170% of the number is just 1.7x, so 680 = 1.7x. Therefore, x = 400.

Now we have to find 50% of the number, which is just half, so it's 200.

User Throoze
by
3.1k points