Hussein

Hussein owns 450000 crowns (local currency). He spent at the bookstore 2 over 9 to buy some books and tales. He paid 3 over 5 of his money to buy his math book.
a. Calculate the remaining amount of money with Hussein?
b. Hussein lost 3 over 4 of the remaining money. Calculate the amount of money lost.

Correct result:

a =  80000
b =  60000

Solution:

$$\begin{gathered} x=450000 \\ a=x-{\displaystyle \frac{2}{9}}\cdot x-{\displaystyle \frac{3}{5}}\cdot x=450000-{\displaystyle \frac{2}{9}}\cdot 450000-{\displaystyle \frac{3}{5}}\cdot 450000=80000 \end{gathered}$$

$b={\displaystyle \frac{3}{4}}\cdot a={\displaystyle \frac{3}{4}}\cdot 80000=60000$

Try another example

Showing 0 comments:

Next similar math problems:

• Competition
  The organizers of competion wanted to spent big amount of money to pay for the competitors. One third of this amount spent on prizes and the remaining € 5,000 to diplomas. How much was committed for rewards?
• Self
  A math text book is 2 2/9 inches thick. how many of these books will fit on a 120-inch self?
• 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?
• School library
  The school library contains 6300 books. With this constitutes 7% of professional books for teachers 18% interest books and encyclopedias for pupils and the rest of the fairy tales. How much are which books?
• A library
  A library has 12,500 fiction books and 19,000 non fiction books. Currently 2/5 of the fiction books are checked out. Currently 2/5 of the non fiction books are checked out. Of the books checked out, only 1/10 are due back this week. How many books are due
• The recommended
  The recommended price of the novel "Laughing Sun" is 285 SKK. The bookseller bought 60 pieces of the novel at the wholesale store and paid 82% of the recommended price (18% is his profit for selling books). For the recommended price, he sold 55 pieces of
• Cris had
  Cris had 15000 . He spent 1/3 of his money on a table and the remaining on 5 similar chairs that cost the same. How much did one chair cost?
• Fruits
  For the price of one pineapple, I will buy two oranges. For the price of three oranges, I will buy four apples. I will buy 6 bananas for the price of three apples. What is the price of one banana if I pay 1 euro for one pineapple?
• A man
  A man spends 5/9 of his money on rent, and 5/16 of the remainder on electricity. If the final balance remaining is 550 find how much was spent on rent
• Savings
  Eva borrowed 1/3 of her savings to her brother, 1/2 of savings spent in the store and 7 euros left. How much did she save?
• Library
  New books were purchased for the library. Five-eighths were professional books, one-fifth were encyclopedias, and 231 books were dictionaries. How many professional books were there?
• Euros
  Peter spent a quarter of his pocket saving. He has 9 euros now in his wallet . How many euros spent?
• Tourists
  Tourists hire a guide. Everyone will pay the same amount. If there are two less of them, they will pay 14 crowns more, and if there are three more, they will pay 14 crowns less. How many tourists are there and how much have the guides paid.
• The fish
  The fish vendor sells 5/7 kilos of bangus for Php 72.50. If you will buy 2 1/2 kilos of bangus, how much will cost?
• Crown
  Siblings collect a 2-crowns and 5-crowns. Together have 80 coins with a total of value 310 crowns. How many saved two-crowns and how many five-crowns?
• Withdrawal
  If I withdrew 2/5 of my total savings and spent 7/10 of that amount. What fraction do I have in left in my savings?
• Free time
  Anita had 2 1/4 hours of free time in the afternoon. She spent 2/3 of her free time playing sports and watched TV for 30 minutes. How much time did she have left to read the book? Express the result in fractions in hours and numbers in minutes.