50+ Percents, Ratios, and Rates worksheets for 4th Year on Quizizz ... - Free Printable

Let's solve each problem step by step and explain the reasoning.

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1. Kelly ate 3 apples. This represents 50% of the bag of apples. How many apples were originally in the bag?

Given:
- 3 apples = 50% of the total

We want to find the total number of apples.

Let total apples = $ x $

So:
$ 50\% \times x = 3 $
$ 0.5x = 3 $
$ x = \frac{3}{0.5} = 6 $

✔ Answer: D) 6

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2. The ratio of boys to girls in Mr. Baker's social studies class is 2 to 3. If there are 30 total students, how many more girls are in the class than boys?

Ratio of boys : girls = 2:3
Total parts = 2 + 3 = 5

Each part = $ \frac{30}{5} = 6 $

- Number of boys = $ 2 \times 6 = 12 $
- Number of girls = $ 3 \times 6 = 18 $

Difference = $ 18 - 12 = 6 $

✔ Answer: B) 6

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3. Kenton completed 30% of the 90-page reading assignment. How many pages did he read?

$ 30\% \times 90 = 0.3 \times 90 = 27 $

✔ Answer: A) 27

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4. The ratio of blue marbles to white marbles is 1 to 2. If there are 20 blue marbles, how many white marbles are there?

Ratio: Blue : White = 1:2
So for every 1 blue marble, there are 2 white marbles.

If blue = 20, then white = $ 2 \times 20 = 40 $

✔ Answer: A) 40

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5. Aaron cut a piece of metal that weighed 2,700 grams. Dionne cut a piece that weighed 3,200 grams. How much heavier was Dionne's piece in kilograms?

Difference in weight:
$ 3,200 - 2,700 = 500 $ grams

Convert to kilograms:
$ 500 \text{ grams} = 0.5 \text{ kg} $

✔ Answer: C) 0.5

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6. The ratio of green houses to white houses on Winthrop Street is 2 to 3. There are 60 white houses. How many green houses are there?

Ratio: Green : White = 2:3

Let’s set up a proportion:

$ \frac{2}{3} = \frac{x}{60} $

Cross-multiply:
$ 3x = 120 $
$ x = 40 $

✔ Answer: 40 green houses

(Note: This question doesn’t have answer choices listed in your image, but based on calculation, it’s 40.)

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✔ Final Answers:

1. D) 6
2. B) 6
3. A) 27
4. A) 40
5. C) 0.5
6. 40 green houses

Let me know if you'd like these explained in simpler terms or with diagrams!