Middle School

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Please answer and provide explanations for the following:

7. What is 64% of 75 tiles?

8. What is 10% of 70 plants?

9. What is 32% of 25 pages?

10. What is 85% of 40 emails?

11. What is 72% of 350 friends?

12. What is 5% of 220 files?

13. 4 students is what percent of 20 students?

17. 4% of how many days is 56 days?

18. 60 minutes is 20% of how many minutes?

19. 80% of how many games is 32 games?

20. 360 kilometers is 24% of how many kilometers?

22. 9 stores is 3% of how many stores?

24. Out of 200 songs, 24 are country songs. What percent of the songs are country?

25. The sales tax rate is 7%. Amanda paid $35 in sales tax on a stereo. What was the price of the stereo?

27. Monica paid a sales tax of $1.50 when she bought a helmet. If the sales tax rate was 5%, how much did the store charge for the helmet before tax?

28. How many hours per day does Becky spend on each activity?
- Sleep: 40%
- School: 25%
- Eating: 10%
- Free Time: 15%
- Homework: 10%

Calculate:
- School: ___ hours
- Eating: ___ hours
- Sleep: ___ hours
- Homework: ___ hours
- Free Time: ___ hours

Answer :

There are 3 terms to remember in answering these questions. WHOLE, PART, PERCENTAGE.

Whole is the total amount.
Part is the portion of the whole
Percentage is usually the rate of the part to the whole.

If the part and percentage is given and we are looking for the whole or total.
Whole = part ÷ percentage of the part

If the whole and percentage of the part is given and we are looking for the part:
Part = whole * percentage of the part

If the part and the whole is given and we are looking for the percentage:
percentage = (part / whole) x 100%

7) 75 * 64% = 48 tiles
8) 70 * 10% = 7 plants
9) 25 * 32% = 8 pages
10) 40 * 85% = 34 emails
11) 350 * 72% = 252 friends
12) 220 * 5% = 11 files
13) 4/20 = 0.20 x 100% = 20%
17) 56 ÷ 4% = 140 days
18) 60 ÷ 20% = 300 minutes
19) 32 ÷ 80% = 40 games
20) 360 ÷ 24% = 1500 kilometers
22) 9 ÷ 3% = 300 stores
24) 24/200 = 0.12 x 100% = 12%
25) 35 ÷ 7% = 500 price of the stereo
27) 1.50 ÷ 5% = 30 cost of helmet before tax
28) there are 24 hours in a day.
sleep : 24 * 40% = 9.6 hours
school : 24 * 25% = 6 hours
eating : 24 * 10% = 2.4 hours
free time : 24 * 15% = 3.6 hours
homework : 24 * 10% = 2.4 hours


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