Percent Word Problems - Key Words - Algebra - Free Printable

Let's solve each of the three percent problems step by step.

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1. What is 6% of 300?

Step 1: Convert the percentage to a decimal.
6% = 6/100 = 0.06

Step 2: Multiply the decimal by the number.
0.06 × 300 = 18

✔ Answer: 18

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2. 15% of what number is 6?

Let the unknown number be $ x $.
We are told:
15% of $ x $ = 6

Convert 15% to a decimal:
15% = 0.15

So:
0.15 × $ x $ = 6

Now solve for $ x $:
$ x = \frac{6}{0.15} $

Divide:
$ x = 40 $

✔ Answer: 40

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3. What percent of 350 is 70?

Let the unknown percent be $ p $.
We want to find $ p $ such that:

$ p\% $ of 350 = 70

Convert $ p\% $ to decimal: $ \frac{p}{100} $

So:
$ \frac{p}{100} \times 350 = 70 $

Solve for $ p $:
$ \frac{350p}{100} = 70 $
Multiply both sides by 100:
$ 350p = 7000 $

Divide both sides by 350:
$ p = \frac{7000}{350} = 20 $

✔ Answer: 20%

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✔ Final Answers:

1. 6% of 300 is 18
2. 15% of 40 is 6
3. 20% of 350 is 70

These represent the three main types of percent problems:
- Finding a part (Question 1)
- Finding the whole (Question 2)
- Finding the percent (Question 3)

Let me know if you'd like a formula summary!