Lottery - eurocents

Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out.
An elderly gentleman standing next to him wants to buy a newspaper, but he is missing five cents.
Tereza is in a generous mood after the win, so she gives the man five cents from her win.
When she comes home, Tereza recalculates the money, and it is not enough to be amazed.
Although it had an empty wallet before the prize was collected, it now contains precisely twice as much money as it should have been paid out.
Suddenly he realizes what happened. The man at the cash register paid her euros in cents and cents in euros.
How much money did Tereza win?

Correct result:

e =  31.63 Eur

Solution:

c 100+x5=2 (x 100+c) c<100  x=31 c=63  e=x+c/100=31+63/100=3163100=31.63 Eur   Correctness test:  v=c+x/100=63+31/100=6331100=63.31 eur x2=v0.05=63.310.05=316350=63.26 eur x3=x2/2=63.26/2=3163100=31.63



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Please write to us with your comment on the math problem or ask something. Thank you for helping each other - students, teachers, parents, and problem authors.

Showing 0 comments:
avatar




Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?
Do you solve Diofant problems and looking for a calculator of Diofant integer equations?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Guppies for sale
    guppies Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have, plus half a guppy. The third customer, Nancy
  • Legs
    rak 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?
  • Savings
    penize_29 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?
  • Adam
    minca Adam has half the money in his right pocket than in his left pocket. If he transferred 40 crowns from the left pocket to the right, he would have the same in both pockets. Calculate how many crowns does Adam have in his left pocket more than in his right?
  • Antennas
    antenas If you give me two antennas will be same. If you give me again your two antenna I have a 5× so many than you. How many antennas have both mans?
  • Candies
    bonbon If Alena give Lenka 3 candy will still have 1 more candy. If Lenka give Alena 1 candy Alena will hame twice more than Lenka. How many candies have each of them?
  • Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
  • A fisherman
    worms 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.
  • A candle
    candles 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 many
  • Casey
    ham Casey bought a 15.4 pound turkey and an 11.6 pound ham for thanksgiving and paid $38.51. Her friend Jane bought a 10.2 pound turkey and a 7.3 pound ham from the same store and paid $24.84. Find the cost per pound of turkey and the cost per pound of ham.
  • Boys and money
    money_12 270 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?
  • An animal shelter
    cat 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 an
  • Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  • Three workshops
    workers_24 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?
  • Nine books
    books_42 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?
  • Three unknowns
    matrix_1 Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
  • 925 USD
    money_22 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?