Percent Word Problems 7Th Grade - Free Printable

Let's solve each of these word problems step by step and explain the reasoning behind each solution.

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1) 15 of the students in a English class passed their English test. If these students are 75% of all the students in the class, how many students are in the English class?

Step-by-step:
- Let total number of students = $ x $
- 75% of $ x $ = 15
- So:
$$
0.75x = 15
$$
- Divide both sides by 0.75:
$$
x = \frac{15}{0.75} = 20
$$

✔ Answer: 20 students

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2) For one Chemistry test, John had to answer 40 questions. Of these 40 questions, John answered 36 of them correctly. What percent did John get on his Chemistry test?

Step-by-step:
- Percent correct = $ \frac{\text{correct}}{\text{total}} \times 100 $
- $$
\frac{36}{40} \times 100 = 0.9 \times 100 = 90\%
$$

✔ Answer: 90%

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3) One baseball team played 18 games throughout their entire season. This baseball team won 50% of those games, then how many games did they win?

Step-by-step:
- 50% of 18 = $ 0.50 \times 18 = 9 $

✔ Answer: 9 games

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4) In one particular suburb, there are 30 families that own a boxer. If there are a total of 50 families that own a dog in general, then what percentage of dog owners have a boxer?

Step-by-step:
- Percent = $ \frac{30}{50} \times 100 = 0.6 \times 100 = 60\% $

✔ Answer: 60%

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5) At a local department store, stocks have been reduced to $36. This price is at 90% of the original price for slacks. What was the original price of the slacks?

Step-by-step:
- Let original price = $ x $
- 90% of $ x $ = $ 36 $
- $$
0.90x = 36
$$
- Divide both sides by 0.90:
$$
x = \frac{36}{0.90} = 40
$$

✔ Answer: $40

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6) Peter receives a $30000 salary for working as an administrator. If Peter spends 20% of his salary on expenses each year, then how much money does Peter have to spend on expenses?

Step-by-step:
- 20% of $30,000 = $ 0.20 \times 30000 = 6000 $

✔ Answer: $6,000

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7) Joan decided to look at new and used trucks. Joan has a used truck for $12000. A new truck is $24000, so what percent of the price of a new truck does Joan pay for a used truck?

Step-by-step:
- Percent = $ \frac{12000}{24000} \times 100 = 0.5 \times 100 = 50\% $

✔ Answer: 50%

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8) John went to his local zoo that featured 3 reptile exhibits. If the zoo features 15 exhibits in total, then what percent of the zoo's exhibits feature reptiles?

Step-by-step:
- Percent = $ \frac{3}{15} \times 100 = 0.2 \times 100 = 20\% $

✔ Answer: 20%

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9) While mining, Keith found a large metal bar that weighed 16 grams. Keith was also able to determine that the bar contained 25% copper. How many grams of copper are in this metal bar?

Step-by-step:
- 25% of 16 grams = $ 0.25 \times 16 = 4 $ grams

✔ Answer: 4 grams

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10) At a construction job for a gallery, 18 painters were tasked with painting the interior. These painters made up 75% of the painting crew, so how many painters in all worked on this job?

Step-by-step:
- Let total painters = $ x $
- 75% of $ x $ = 18
- $$
0.75x = 18
$$
- $$
x = \frac{18}{0.75} = 24
$$

✔ Answer: 24 painters

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✔ Final Answers:

1) 20
2) 90%
3) 9
4) 60%
5) $40
6) $6,000
7) 50%
8) 20%
9) 4 grams
10) 24

All answers are rounded to the nearest whole number when necessary (though none required rounding except possibly if decimals were involved — but here, all came out cleanly).

Let me know if you'd like this formatted as a printable worksheet or need explanations in simpler language!