Math Problem Statement
To provide only the answers.
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A toy store sells a board game for $30. If you buy a set of three board games, you pay $75. By what percentage is the set cheaper per game compared to buying them individually?
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A restaurant sells a pizza for $15. If you buy two pizzas, you pay $28. By what percentage is the cost of two pizzas cheaper per pizza compared to buying them individually?
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A bookstore has a sale where all books are 15% off. If a novel costs $40, what is the discount amount?
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There are 850 Chinese books and 400 English books on a bookshelf.
(a) What percentage of the number of Chinese books is the number of English books? (b) After lending out 130 Chinese books, what percentage of the number of English books is the number of the remaining Chinese books?
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A bottle of soft drink contains 1200ml originally. Now there is 20% more. It contains how many mL now?
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Mum has a box of candies of 150 pieces in which 24% is watermelon flavour, 16% melon flavour, 40% apple flavour and 20% lemon flavour.
(a) How many more pieces of apple flavoured than lemon flavoured? (b) There are how many pieces of melon flavoured and watermelon flavoured altogether?
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A café sells a cup of coffee for $5. If you buy a pack of five cups of coffee for $22, by what percentage is the pack cheaper per cup compared to buying them individually?
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A pet store sells a cat toy for $5. If you buy a pack of four toys for $18, by what percentage is the pack cheaper per toy compared to buying them individually?
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A bookstore sells a novel for $20. If you buy a set of four novels, you pay $70. By what percentage is the set cheaper per novel compared to buying them individually? Answer in percentage should be shown in decimal number rather than fraction.
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An office has a stock of 500 pens. 60% are black, 25% are blue, and the rest are red. How many fewer red pens are there than black pens?
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A farmer has a livestock farm with 30% cows, 45% sheep, and the rest are goats. If 20% of the sheep have white fur, what percentage of the livestock farm is occupied by white-furred sheep? If there are 400 livestock in total in this farm, how many white-furred sheep are there?
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A story book has 80 pages. Charlie read 20% on the first day, 5% more than he did on the second day.
(a) How many pages did he read on the second day? (b) After these 2 days, how many pages are still unread?
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A bottle of shampoo costs $35 and a two-bottle set costs $56. By what percentage is the two-bottle set cheaper per bottle?
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The stall Mimi Florist at the Chinese New Year Fair had 800 pots of flowers. 40% of them were pots of daffodils, 23% orchids and the rest peonies. How many fewer pots of orchids were there than daffodils?
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There are 540 females and 450 males at a concert. What percentage of all the audience is female?
Solution
Here are the answers to your questions:
- 20%
- 6.67%
- $6
- (a) 47.06%
(b) 30.88% - 1440 mL
- (a) 20 pieces
(b) 44 pieces - 26.67%
- 25%
- 16.67%
- 50 red pens fewer
- (a) 9 white-furred sheep
(b) 80 white-furred sheep - (a) 9 pages
(b) 51 pages - 20%
- 57 pots
- 54.55%
Let me know if you need further explanations! Here are some related questions for your practice:
- How do you calculate percentage discounts in multiple-item purchases?
- What are some other practical applications of percentage calculations in real life?
- How would you handle discounts with tax included in the total price?
- How can you calculate percentages for multiple categories (e.g., various flavors, different product types)?
- What is the importance of rounding off percentages in business pricing strategies?
Tip: When calculating percentages for discounts or price changes, it's helpful to express the percentage difference in terms of the original price first, and then calculate the change.
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Math Problem Analysis
Mathematical Concepts
Percentage Calculation
Discount and Savings
Basic Arithmetic
Ratios and Proportions
Formulas
Percentage decrease formula: ((Original Price - Discounted Price) / Original Price) × 100
Percentage calculation: (Part / Whole) × 100
Basic arithmetic operations: addition, subtraction, multiplication, and division
Theorems
Percentage Change Theorem
Proportional Reasoning
Suitable Grade Level
Grades 5-8
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