Juana can use the expression 64 divided by 4 to determine
A. 4% of 64.
B. 10% of 64.
C. 25% of 64.
D. 50% of 64.
The correct answer and explanation is:
The correct answer is C. 25% of 64.
Here’s an explanation:
To find a percentage of a number, you multiply the number by the percentage in decimal form. For example, to find 25% of a number, you would multiply the number by 0.25. However, there is a different method to calculate percentages by division.
In this case, the expression “64 divided by 4” means dividing 64 by 4, which equals 16. This is because 25% of any number is equivalent to dividing the number by 4. Here’s why:
- 25% is the same as one-quarter (1/4). To find one-quarter of 64, you divide 64 by 4.
- 64 ÷ 4 = 16, which is 25% of 64.
Therefore, when Juana uses the expression “64 divided by 4,” she is effectively calculating 25% of 64.
To contrast with the other options:
- A. 4% of 64: To calculate 4% of 64, multiply 64 by 0.04 (64 × 0.04 = 2.56).
- B. 10% of 64: To calculate 10% of 64, multiply 64 by 0.10 (64 × 0.10 = 6.4).
- D. 50% of 64: To calculate 50% of 64, multiply 64 by 0.50 (64 × 0.50 = 32).
In conclusion, dividing 64 by 4 gives the correct result for 25% of 64, which is why “64 divided by 4” determines 25% of 64.