Dividing money

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1. Boys and money
   270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than than Paul. How much each received?
2. 925 USD
   Four classmates saved an annual total 925 USD. The second save twice as the first, third 35 USD more than the second and fourth 10 USD less than the first. How USD save each of them?
3. Savings
   Paul has a by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have 3 boys together?
4. A candle
   A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How m
5. Employees
   The company employs 1 440 employees (men and women). For over-average results, the premiums were 18.75% of all men and 22.5% of all women. 20% of employees were rewarded with premiums. How many men and how many women are employed in the company?
6. Nine books
   Nine books are to be bought by a student. Art books cost $6.00 each and biology books cost $6.50 each . If the total amount spent was $56.00, how many of each book was bought?
7. Borrowing
   I borrow 25,000 to 6.9% p.a.. I pay 500 per month. How much will I pay and for how long?
8. Loss
   A bookstore purchased from a publisher the biography of a well-known politician for R15 per copy, but sales have been very poor. The manager has decided to mark the copies down to R12 each to make a quick sale. Calculate the loss on each book as a percenta
9. An animal shelter
   An animal shelter spends $5.50 per day to care for each bird and $8.50 per day to care for each cat. Nicole noticed that the shelter spent $283.00 caring for birds and cats on Wednesday. Nicole found a record showing that there were a total of 40 birds and
10. A fisherman
    A fisherman buys carnivores to fish. He could buy either 6 larvae and 4 worms for $ 132 or 4 larvae and 7 worms per $ 127. What is the price of larvae and worms? Argue the answer.
11. Legs
    Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects?
12. Profit gain
    If 5% more is gained by selling an article for Rs. 350 than by selling it for Rs. 340, the cost of the article is:
13. Three workshops
    There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
14. Theorem prove
    We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
15. Three unknowns
    Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
16. Summerjob
    The temporary workers planted new trees. Of the total number of 500 seedlings, they managed to plant 426. How many percents did they meet the daily planting limit?
17. Linsys2
    Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144