Let's solve each of the word problems step by step and explain the reasoning.
---
Problem 1:
There are 800 students in a primary school. Among them, 25% are Spanish pupils. How many Spanish pupils are there in the school?
Solution:
We need to find 25% of 800.
$$
25\% \text{ of } 800 = \frac{25}{100} \times 800 = 0.25 \times 800 = 200
$$
✔ Answer: There are
200 Spanish pupils in the school.
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Problem 2:
There are 25 different fruits in a fruit basket. 15 of them are strawberries. What percentage of the fruits are strawberries?
Solution:
We want to find what percent 15 is of 25.
$$
\text{Percentage} = \left( \frac{15}{25} \right) \times 100 = 0.6 \times 100 = 60\%
$$
✔ Answer: 60% of the fruits are strawberries.
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Problem 3:
Mr. Ali earns $250 in a week. He spends $100 on his grocery and he saves the rest of the money.
####
a) What percentage of his earning does he spend on grocery?
$$
\text{Percentage spent on grocery} = \left( \frac{100}{250} \right) \times 100 = 0.4 \times 100 = 40\%
$$
✔ Answer (a): He spends
40% of his earnings on groceries.
####
b) What percentage of his earning does he save?
He saves:
$$
250 - 100 = 150
$$
$$
\text{Percentage saved} = \left( \frac{150}{250} \right) \times 100 = 0.6 \times 100 = 60\%
$$
✔ Answer (b): He saves
60% of his earnings.
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Problem 4:
There are 20 children in our group for a project. 12 are girls. What percentage of children in the group are girls?
$$
\text{Percentage of girls} = \left( \frac{12}{20} \right) \times 100 = 0.6 \times 100 = 60\%
$$
✔ Answer: 60% of the children are girls.
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Problem 5:
If Saima has read 68% of the book, how much book does she still need to read in order to finish it?
Total book = 100%
Already read = 68%
$$
\text{Remaining} = 100\% - 68\% = 32\%
$$
✔ Answer: She still needs to read
32% of the book.
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✔ Final Answers Summary:
1.
200 Spanish pupils
2.
60% are strawberries
3. a)
40% spent on grocery
b)
60% saved
4.
60% are girls
5.
32% of the book remains to be read
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of percentage word problems worksheet for grade 7.
