Final answer:
To find the percentage of a part (e.g., poodles or red marbles) relative to the whole (all dogs or all marbles), divide the part by the whole and multiply by 100 to get the percentage. The number being compared to the whole (the part), the 'of' number in a percent proportion (the numerator), and the whole (representing 100%) are parts of calculating percentages.
Step-by-step explanation:
To find the percent of dogs that were poodles in the park, we divide the number of poodles by the total number of dogs and then multiply by 100. So, 6 poodles divided by 30 dogs total, multiplied by 100, gives us 20%. This means that 20% of the dogs at the park were poodles.
To determine the percent that is red for the marbles, we use the same process. We divide the number of red marbles, which is 26, by the total number of marbles, which is 208, and multiply by 100. This gives us (26 / 208) * 100, which is approximately 12.5%. So, 12.5% of the marbles are red.
Now, let’s address the true/false questions:
The number being compared to the whole is called the part because it is a piece of the whole. (Answer: A) True
In a percent proportion, the "of" number is the numerator. (Answer: A) True
The whole is the quantity that represents the 100% in a situation. (Answer: A) True
The number that represents the parts per 100 is called the percent. (Answer: B) False, it’s called the rate or proportion)
The number being compared to the whole is called the part because it is a piece of the whole. (Answer: A) True