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Percent, Base, and Rate

Answer:

5. What is asked in the problem?

   How many bottles are not empty?

6. What are given facts?

  Total number of bottles (Base) = 400 bottles

   Rate of Bottles that are Empty = 16% / 0.16

7. What are the operation to be used in solving the problem?

   - Multiplication and subtraction

8. What is the number sentence

  a.) P = B x R

   b.) Let x be bottles that are not empty:

  x = 400 - P

9. Solve and show your solution:

   P = B x R

      = 400 x 0.16

      = 64

   x = 400 - 64

     = 336

10. Final Answer: 336 bottles are not empty.

Step-by-step explanation:

The percentage, base, and rate are related when computing. The percentage is the result obtained when a number (base) is multiplied by a percent. It is computed using the formula, P = B x R. The amount where we get the percent is considered as the base. It is the whole in problem. The formula in computing for the base is B = P / R. The number written as a percent is the rate. It is the ratio of the percentage and base. The formula to solve for rate is R = P / B. Since the rate should be expressed in percent, thus, we multiply it by 100 %.

In the question, the base (total number of bottles) and the rate of bottles that are empty. We will solve first for percentage or the number of bottles that are empty. But since we are asked to solve for the bottles that are not empty so we subtract the percentage from the total number of bottles.

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